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Finding the Fourth Proportional to 359,171.72, 538,760.24 and 159,438.40

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Solution

The fourth proportional to 359,171.72, 538,760.24 and 159,438.40 is: 239,158.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,171.72 : 538,760.24 = 159,438.40 : x
  2. Step 2: Convert to fraction form
    359,171.72/538,760.24 = 159,438.40/x
  3. Step 3: Cross multiply
    359,171.72x = 538,760.24 × 159,438.40
  4. Step 4: Simplify right side
    359,171.72x = 85,899,070,649.22
  5. Step 5: Solve for x
    x = 85,899,070,649.22/359,171.72
  6. Step 6: Final answer
    x = 239,158.78

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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.