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Finding the Fourth Proportional to 318,981,366.40, 478,695,998.40 and 137,358,889.60

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Solution

The fourth proportional to 318,981,366.40, 478,695,998.40 and 137,358,889.60 is: 206,134,770.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,981,366.40 : 478,695,998.40 = 137,358,889.60 : x
  2. Step 2: Convert to fraction form
    318,981,366.40/478,695,998.40 = 137,358,889.60/x
  3. Step 3: Cross multiply
    318,981,366.40x = 478,695,998.40 × 137,358,889.60
  4. Step 4: Simplify right side
    318,981,366.40x = 65,753,150,796,187,368
  5. Step 5: Solve for x
    x = 65,753,150,796,187,368/318,981,366.40
  6. Step 6: Final answer
    x = 206,134,770.62

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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.