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Finding the Fourth Proportional to 337,638.71, 506,458.05 and 137,958.90

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Solution

The fourth proportional to 337,638.71, 506,458.05 and 137,958.90 is: 206,938.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,638.71 : 506,458.05 = 137,958.90 : x
  2. Step 2: Convert to fraction form
    337,638.71/506,458.05 = 137,958.90/x
  3. Step 3: Cross multiply
    337,638.71x = 506,458.05 × 137,958.90
  4. Step 4: Simplify right side
    337,638.71x = 69,870,395,474.15
  5. Step 5: Solve for x
    x = 69,870,395,474.15/337,638.71
  6. Step 6: Final answer
    x = 206,938.35

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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.