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Finding the Fourth Proportional to 287,589.60, 431,380.35 and 129,817.80

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Solution

The fourth proportional to 287,589.60, 431,380.35 and 129,817.80 is: 194,724.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,589.60 : 431,380.35 = 129,817.80 : x
  2. Step 2: Convert to fraction form
    287,589.60/431,380.35 = 129,817.80/x
  3. Step 3: Cross multiply
    287,589.60x = 431,380.35 × 129,817.80
  4. Step 4: Simplify right side
    287,589.60x = 56,000,848,000.23
  5. Step 5: Solve for x
    x = 56,000,848,000.23/287,589.60
  6. Step 6: Final answer
    x = 194,724.87

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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.