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Finding the Fourth Proportional to 287,646.84, 431,490.24 and 87,951.87

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Solution

The fourth proportional to 287,646.84, 431,490.24 and 87,951.87 is: 131,933.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,646.84 : 431,490.24 = 87,951.87 : x
  2. Step 2: Convert to fraction form
    287,646.84/431,490.24 = 87,951.87/x
  3. Step 3: Cross multiply
    287,646.84x = 431,490.24 × 87,951.87
  4. Step 4: Simplify right side
    287,646.84x = 37,950,373,494.75
  5. Step 5: Solve for x
    x = 37,950,373,494.75/287,646.84
  6. Step 6: Final answer
    x = 131,933.91

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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.