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Finding the Fourth Proportional to 287,898.82, 431,832.65 and 88,219.78

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Solution

The fourth proportional to 287,898.82, 431,832.65 and 88,219.78 is: 132,324.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,898.82 : 431,832.65 = 88,219.78 : x
  2. Step 2: Convert to fraction form
    287,898.82/431,832.65 = 88,219.78/x
  3. Step 3: Cross multiply
    287,898.82x = 431,832.65 × 88,219.78
  4. Step 4: Simplify right side
    287,898.82x = 38,096,181,379.82
  5. Step 5: Solve for x
    x = 38,096,181,379.82/287,898.82
  6. Step 6: Final answer
    x = 132,324.90

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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.