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Finding the Fourth Proportional to 287,367.59, 431,024.79 and 135,529.85

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Solution

The fourth proportional to 287,367.59, 431,024.79 and 135,529.85 is: 203,282.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,367.59 : 431,024.79 = 135,529.85 : x
  2. Step 2: Convert to fraction form
    287,367.59/431,024.79 = 135,529.85/x
  3. Step 3: Cross multiply
    287,367.59x = 431,024.79 × 135,529.85
  4. Step 4: Simplify right side
    287,367.59x = 58,416,725,134.98
  5. Step 5: Solve for x
    x = 58,416,725,134.98/287,367.59
  6. Step 6: Final answer
    x = 203,282.23

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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.