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Finding the Fourth Proportional to 498,429.60, 687,847.68 and 283,529.76

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Solution

The fourth proportional to 498,429.60, 687,847.68 and 283,529.76 is: 391,279.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,429.60 : 687,847.68 = 283,529.76 : x
  2. Step 2: Convert to fraction form
    498,429.60/687,847.68 = 283,529.76/x
  3. Step 3: Cross multiply
    498,429.60x = 687,847.68 × 283,529.76
  4. Step 4: Simplify right side
    498,429.60x = 195,025,287,626.96
  5. Step 5: Solve for x
    x = 195,025,287,626.96/498,429.60
  6. Step 6: Final answer
    x = 391,279.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.