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Finding the Fourth Proportional to 521,861,920.80, 782,789,770.80 and 133,684,000.80

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Solution

The fourth proportional to 521,861,920.80, 782,789,770.80 and 133,684,000.80 is: 200,525,204.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,861,920.80 : 782,789,770.80 = 133,684,000.80 : x
  2. Step 2: Convert to fraction form
    521,861,920.80/782,789,770.80 = 133,684,000.80/x
  3. Step 3: Cross multiply
    521,861,920.80x = 782,789,770.80 × 133,684,000.80
  4. Step 4: Simplify right side
    521,861,920.80x = 104,646,468,345,859,008
  5. Step 5: Solve for x
    x = 104,646,468,345,859,008/521,861,920.80
  6. Step 6: Final answer
    x = 200,525,204.42

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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.