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Finding the Fourth Proportional to 508,178.64, 762,111.90 and 351,414.48

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Solution

The fourth proportional to 508,178.64, 762,111.90 and 351,414.48 is: 527,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,178.64 : 762,111.90 = 351,414.48 : x
  2. Step 2: Convert to fraction form
    508,178.64/762,111.90 = 351,414.48/x
  3. Step 3: Cross multiply
    508,178.64x = 762,111.90 × 351,414.48
  4. Step 4: Simplify right side
    508,178.64x = 267,817,157,040.31
  5. Step 5: Solve for x
    x = 267,817,157,040.31/508,178.64
  6. Step 6: Final answer
    x = 527,013.80

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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.