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Finding the Fourth Proportional to 287,584.60, 431,372.85 and 129,812.80

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Solution

The fourth proportional to 287,584.60, 431,372.85 and 129,812.80 is: 194,717.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,584.60 : 431,372.85 = 129,812.80 : x
  2. Step 2: Convert to fraction form
    287,584.60/431,372.85 = 129,812.80/x
  3. Step 3: Cross multiply
    287,584.60x = 431,372.85 × 129,812.80
  4. Step 4: Simplify right side
    287,584.60x = 55,997,717,502.48
  5. Step 5: Solve for x
    x = 55,997,717,502.48/287,584.60
  6. Step 6: Final answer
    x = 194,717.37

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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.