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Finding the Fourth Proportional to 287,797.83, 431,450.57 and 110,432.13

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Solution

The fourth proportional to 287,797.83, 431,450.57 and 110,432.13 is: 165,553.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,797.83 : 431,450.57 = 110,432.13 : x
  2. Step 2: Convert to fraction form
    287,797.83/431,450.57 = 110,432.13/x
  3. Step 3: Cross multiply
    287,797.83x = 431,450.57 × 110,432.13
  4. Step 4: Simplify right side
    287,797.83x = 47,646,002,725.40
  5. Step 5: Solve for x
    x = 47,646,002,725.40/287,797.83
  6. Step 6: Final answer
    x = 165,553.73

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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.