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Finding the Fourth Proportional to 437,915.71, 657,047.31 and 157,454.83

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Solution

The fourth proportional to 437,915.71, 657,047.31 and 157,454.83 is: 236,244.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,915.71 : 657,047.31 = 157,454.83 : x
  2. Step 2: Convert to fraction form
    437,915.71/657,047.31 = 157,454.83/x
  3. Step 3: Cross multiply
    437,915.71x = 657,047.31 × 157,454.83
  4. Step 4: Simplify right side
    437,915.71x = 103,455,272,498.01
  5. Step 5: Solve for x
    x = 103,455,272,498.01/437,915.71
  6. Step 6: Final answer
    x = 236,244.72

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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.