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Finding the Fourth Proportional to 287,733.52, 431,600.28 and 121,522.96

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Solution

The fourth proportional to 287,733.52, 431,600.28 and 121,522.96 is: 182,284.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,733.52 : 431,600.28 = 121,522.96 : x
  2. Step 2: Convert to fraction form
    287,733.52/431,600.28 = 121,522.96/x
  3. Step 3: Cross multiply
    287,733.52x = 431,600.28 × 121,522.96
  4. Step 4: Simplify right side
    287,733.52x = 52,449,343,562.43
  5. Step 5: Solve for x
    x = 52,449,343,562.43/287,733.52
  6. Step 6: Final answer
    x = 182,284.44

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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.