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Finding the Fourth Proportional to 287,906.20, 431,859.30 and 100,917.70

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Solution

The fourth proportional to 287,906.20, 431,859.30 and 100,917.70 is: 151,376.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,906.20 : 431,859.30 = 100,917.70 : x
  2. Step 2: Convert to fraction form
    287,906.20/431,859.30 = 100,917.70/x
  3. Step 3: Cross multiply
    287,906.20x = 431,859.30 × 100,917.70
  4. Step 4: Simplify right side
    287,906.20x = 43,582,247,279.61
  5. Step 5: Solve for x
    x = 43,582,247,279.61/287,906.20
  6. Step 6: Final answer
    x = 151,376.55

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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.