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Finding the Fourth Proportional to 814,456,702, 1,123,940,800.92 and 443,172,336.40

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Solution

The fourth proportional to 814,456,702, 1,123,940,800.92 and 443,172,336.40 is: 611,572,683.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,456,702 : 1,123,940,800.92 = 443,172,336.40 : x
  2. Step 2: Convert to fraction form
    814,456,702/1,123,940,800.92 = 443,172,336.40/x
  3. Step 3: Cross multiply
    814,456,702x = 1,123,940,800.92 × 443,172,336.40
  4. Step 4: Simplify right side
    814,456,702x = 498,099,470,719,003,648
  5. Step 5: Solve for x
    x = 498,099,470,719,003,648/814,456,702
  6. Step 6: Final answer
    x = 611,572,683.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.