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Finding the Fourth Proportional to 498,582.30, 746,998.65 and 409,352.70

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Solution

The fourth proportional to 498,582.30, 746,998.65 and 409,352.70 is: 613,310.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,582.30 : 746,998.65 = 409,352.70 : x
  2. Step 2: Convert to fraction form
    498,582.30/746,998.65 = 409,352.70/x
  3. Step 3: Cross multiply
    498,582.30x = 746,998.65 × 409,352.70
  4. Step 4: Simplify right side
    498,582.30x = 305,785,914,273.86
  5. Step 5: Solve for x
    x = 305,785,914,273.86/498,582.30
  6. Step 6: Final answer
    x = 613,310.81

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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.