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Finding the Fourth Proportional to 442,301.64, 663,059.61 and 172,367.25

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Solution

The fourth proportional to 442,301.64, 663,059.61 and 172,367.25 is: 258,397.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,301.64 : 663,059.61 = 172,367.25 : x
  2. Step 2: Convert to fraction form
    442,301.64/663,059.61 = 172,367.25/x
  3. Step 3: Cross multiply
    442,301.64x = 663,059.61 × 172,367.25
  4. Step 4: Simplify right side
    442,301.64x = 114,289,761,561.77
  5. Step 5: Solve for x
    x = 114,289,761,561.77/442,301.64
  6. Step 6: Final answer
    x = 258,397.78

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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.