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Finding the Fourth Proportional to 287,896.82, 431,829.65 and 88,217.78

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Solution

The fourth proportional to 287,896.82, 431,829.65 and 88,217.78 is: 132,321.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,896.82 : 431,829.65 = 88,217.78 : x
  2. Step 2: Convert to fraction form
    287,896.82/431,829.65 = 88,217.78/x
  3. Step 3: Cross multiply
    287,896.82x = 431,829.65 × 88,217.78
  4. Step 4: Simplify right side
    287,896.82x = 38,095,051,122.57
  5. Step 5: Solve for x
    x = 38,095,051,122.57/287,896.82
  6. Step 6: Final answer
    x = 132,321.89

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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.