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Finding the Fourth Proportional to 655,298,249.32, 904,305,472.48 and 357,940,377.68

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Solution

The fourth proportional to 655,298,249.32, 904,305,472.48 and 357,940,377.68 is: 493,954,382.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,298,249.32 : 904,305,472.48 = 357,940,377.68 : x
  2. Step 2: Convert to fraction form
    655,298,249.32/904,305,472.48 = 357,940,377.68/x
  3. Step 3: Cross multiply
    655,298,249.32x = 904,305,472.48 × 357,940,377.68
  4. Step 4: Simplify right side
    655,298,249.32x = 323,687,442,359,614,016
  5. Step 5: Solve for x
    x = 323,687,442,359,614,016/655,298,249.32
  6. Step 6: Final answer
    x = 493,954,382.91

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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.