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Finding the Fourth Proportional to 504,078.30, 756,117.45 and 457,422.30

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Solution

The fourth proportional to 504,078.30, 756,117.45 and 457,422.30 is: 686,133.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,078.30 : 756,117.45 = 457,422.30 : x
  2. Step 2: Convert to fraction form
    504,078.30/756,117.45 = 457,422.30/x
  3. Step 3: Cross multiply
    504,078.30x = 756,117.45 × 457,422.30
  4. Step 4: Simplify right side
    504,078.30x = 345,864,983,049.14
  5. Step 5: Solve for x
    x = 345,864,983,049.14/504,078.30
  6. Step 6: Final answer
    x = 686,133.45

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.