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Finding the Fourth Proportional to 437,648.54, 656,472.80 and 138,339.36

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Solution

The fourth proportional to 437,648.54, 656,472.80 and 138,339.36 is: 207,509.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,648.54 : 656,472.80 = 138,339.36 : x
  2. Step 2: Convert to fraction form
    437,648.54/656,472.80 = 138,339.36/x
  3. Step 3: Cross multiply
    437,648.54x = 656,472.80 × 138,339.36
  4. Step 4: Simplify right side
    437,648.54x = 90,816,027,355.26
  5. Step 5: Solve for x
    x = 90,816,027,355.26/437,648.54
  6. Step 6: Final answer
    x = 207,509.04

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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.