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Finding the Fourth Proportional to 437,760.64, 656,251.20 and 171,711.04

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Solution

The fourth proportional to 437,760.64, 656,251.20 and 171,711.04 is: 257,413.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,760.64 : 656,251.20 = 171,711.04 : x
  2. Step 2: Convert to fraction form
    437,760.64/656,251.20 = 171,711.04/x
  3. Step 3: Cross multiply
    437,760.64x = 656,251.20 × 171,711.04
  4. Step 4: Simplify right side
    437,760.64x = 112,685,576,053.25
  5. Step 5: Solve for x
    x = 112,685,576,053.25/437,760.64
  6. Step 6: Final answer
    x = 257,413.68

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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.