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Finding the Fourth Proportional to 337,518.80, 506,278.68 and 137,839.20

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Solution

The fourth proportional to 337,518.80, 506,278.68 and 137,839.20 is: 206,759.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,518.80 : 506,278.68 = 137,839.20 : x
  2. Step 2: Convert to fraction form
    337,518.80/506,278.68 = 137,839.20/x
  3. Step 3: Cross multiply
    337,518.80x = 506,278.68 × 137,839.20
  4. Step 4: Simplify right side
    337,518.80x = 69,785,048,228.26
  5. Step 5: Solve for x
    x = 69,785,048,228.26/337,518.80
  6. Step 6: Final answer
    x = 206,759.00

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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.