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Finding the Fourth Proportional to 521,676.32, 782,545.20 and 147,668

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Solution

The fourth proportional to 521,676.32, 782,545.20 and 147,668 is: 221,510.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,676.32 : 782,545.20 = 147,668 : x
  2. Step 2: Convert to fraction form
    521,676.32/782,545.20 = 147,668/x
  3. Step 3: Cross multiply
    521,676.32x = 782,545.20 × 147,668
  4. Step 4: Simplify right side
    521,676.32x = 115,556,884,593.60
  5. Step 5: Solve for x
    x = 115,556,884,593.60/521,676.32
  6. Step 6: Final answer
    x = 221,510.70

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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.