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Finding the Fourth Proportional to 287,917.20, 431,875.80 and 173,755.80

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Solution

The fourth proportional to 287,917.20, 431,875.80 and 173,755.80 is: 260,633.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,917.20 : 431,875.80 = 173,755.80 : x
  2. Step 2: Convert to fraction form
    287,917.20/431,875.80 = 173,755.80/x
  3. Step 3: Cross multiply
    287,917.20x = 431,875.80 × 173,755.80
  4. Step 4: Simplify right side
    287,917.20x = 75,040,925,129.64
  5. Step 5: Solve for x
    x = 75,040,925,129.64/287,917.20
  6. Step 6: Final answer
    x = 260,633.70

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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.