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Finding the Fourth Proportional to 437,182.78, 655,797.42 and 137,686.78

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Solution

The fourth proportional to 437,182.78, 655,797.42 and 137,686.78 is: 206,537.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,182.78 : 655,797.42 = 137,686.78 : x
  2. Step 2: Convert to fraction form
    437,182.78/655,797.42 = 137,686.78/x
  3. Step 3: Cross multiply
    437,182.78x = 655,797.42 × 137,686.78
  4. Step 4: Simplify right side
    437,182.78x = 90,294,635,092.11
  5. Step 5: Solve for x
    x = 90,294,635,092.11/437,182.78
  6. Step 6: Final answer
    x = 206,537.49

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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.