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Finding the Fourth Proportional to 508,400.31, 762,620.31 and 153,414.38

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Solution

The fourth proportional to 508,400.31, 762,620.31 and 153,414.38 is: 230,127.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,400.31 : 762,620.31 = 153,414.38 : x
  2. Step 2: Convert to fraction form
    508,400.31/762,620.31 = 153,414.38/x
  3. Step 3: Cross multiply
    508,400.31x = 762,620.31 × 153,414.38
  4. Step 4: Simplify right side
    508,400.31x = 116,996,918,220.96
  5. Step 5: Solve for x
    x = 116,996,918,220.96/508,400.31
  6. Step 6: Final answer
    x = 230,127.55

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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.