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Finding the Fourth Proportional to 287,361,502.30, 431,042,253.45 and 82,896,247.90

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Solution

The fourth proportional to 287,361,502.30, 431,042,253.45 and 82,896,247.90 is: 124,344,371.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,361,502.30 : 431,042,253.45 = 82,896,247.90 : x
  2. Step 2: Convert to fraction form
    287,361,502.30/431,042,253.45 = 82,896,247.90/x
  3. Step 3: Cross multiply
    287,361,502.30x = 431,042,253.45 × 82,896,247.90
  4. Step 4: Simplify right side
    287,361,502.30x = 35,731,785,497,365,832
  5. Step 5: Solve for x
    x = 35,731,785,497,365,832/287,361,502.30
  6. Step 6: Final answer
    x = 124,344,371.85

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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.