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Finding the Fourth Proportional to 659,857,710.30, 910,502,414.19 and 381,345,447.30

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Solution

The fourth proportional to 659,857,710.30, 910,502,414.19 and 381,345,447.30 is: 526,198,216.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,857,710.30 : 910,502,414.19 = 381,345,447.30 : x
  2. Step 2: Convert to fraction form
    659,857,710.30/910,502,414.19 = 381,345,447.30/x
  3. Step 3: Cross multiply
    659,857,710.30x = 910,502,414.19 × 381,345,447.30
  4. Step 4: Simplify right side
    659,857,710.30x = 347,215,950,407,015,424
  5. Step 5: Solve for x
    x = 347,215,950,407,015,424/659,857,710.30
  6. Step 6: Final answer
    x = 526,198,216.66

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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.