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Finding the Fourth Proportional to 337,640.90, 506,274.39 and 138,101.43

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Solution

The fourth proportional to 337,640.90, 506,274.39 and 138,101.43 is: 207,075.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,640.90 : 506,274.39 = 138,101.43 : x
  2. Step 2: Convert to fraction form
    337,640.90/506,274.39 = 138,101.43/x
  3. Step 3: Cross multiply
    337,640.90x = 506,274.39 × 138,101.43
  4. Step 4: Simplify right side
    337,640.90x = 69,917,217,231.38
  5. Step 5: Solve for x
    x = 69,917,217,231.38/337,640.90
  6. Step 6: Final answer
    x = 207,075.68

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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.