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Finding the Fourth Proportional to 522,081.80, 781,956.30 and 428,769.80

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Solution

The fourth proportional to 522,081.80, 781,956.30 and 428,769.80 is: 642,196.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,081.80 : 781,956.30 = 428,769.80 : x
  2. Step 2: Convert to fraction form
    522,081.80/781,956.30 = 428,769.80/x
  3. Step 3: Cross multiply
    522,081.80x = 781,956.30 × 428,769.80
  4. Step 4: Simplify right side
    522,081.80x = 335,279,246,359.74
  5. Step 5: Solve for x
    x = 335,279,246,359.74/522,081.80
  6. Step 6: Final answer
    x = 642,196.77

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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.