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Finding the Fourth Proportional to 359,257.20, 538,691.40 and 148,916.40

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Solution

The fourth proportional to 359,257.20, 538,691.40 and 148,916.40 is: 223,294.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,257.20 : 538,691.40 = 148,916.40 : x
  2. Step 2: Convert to fraction form
    359,257.20/538,691.40 = 148,916.40/x
  3. Step 3: Cross multiply
    359,257.20x = 538,691.40 × 148,916.40
  4. Step 4: Simplify right side
    359,257.20x = 80,219,983,998.96
  5. Step 5: Solve for x
    x = 80,219,983,998.96/359,257.20
  6. Step 6: Final answer
    x = 223,294.02

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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.