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Finding the Fourth Proportional to 337,643.91, 506,278.89 and 138,104.42

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Solution

The fourth proportional to 337,643.91, 506,278.89 and 138,104.42 is: 207,080.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,643.91 : 506,278.89 = 138,104.42 : x
  2. Step 2: Convert to fraction form
    337,643.91/506,278.89 = 138,104.42/x
  3. Step 3: Cross multiply
    337,643.91x = 506,278.89 × 138,104.42
  4. Step 4: Simplify right side
    337,643.91x = 69,919,349,930.30
  5. Step 5: Solve for x
    x = 69,919,349,930.30/337,643.91
  6. Step 6: Final answer
    x = 207,080.15

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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.