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Finding the Fourth Proportional to 512,708.30, 769,062.45 and 302,756.30

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Solution

The fourth proportional to 512,708.30, 769,062.45 and 302,756.30 is: 454,134.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,708.30 : 769,062.45 = 302,756.30 : x
  2. Step 2: Convert to fraction form
    512,708.30/769,062.45 = 302,756.30/x
  3. Step 3: Cross multiply
    512,708.30x = 769,062.45 × 302,756.30
  4. Step 4: Simplify right side
    512,708.30x = 232,838,501,830.94
  5. Step 5: Solve for x
    x = 232,838,501,830.94/512,708.30
  6. Step 6: Final answer
    x = 454,134.45

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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.