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Finding the Fourth Proportional to 309,910.30, 464,865.45 and 257,422.30

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Solution

The fourth proportional to 309,910.30, 464,865.45 and 257,422.30 is: 386,133.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,910.30 : 464,865.45 = 257,422.30 : x
  2. Step 2: Convert to fraction form
    309,910.30/464,865.45 = 257,422.30/x
  3. Step 3: Cross multiply
    309,910.30x = 464,865.45 × 257,422.30
  4. Step 4: Simplify right side
    309,910.30x = 119,666,733,329.54
  5. Step 5: Solve for x
    x = 119,666,733,329.54/309,910.30
  6. Step 6: Final answer
    x = 386,133.45

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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.