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Finding the Fourth Proportional to 485,306.64, 727,516.44 and 410,906.16

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Solution

The fourth proportional to 485,306.64, 727,516.44 and 410,906.16 is: 615,983.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,306.64 : 727,516.44 = 410,906.16 : x
  2. Step 2: Convert to fraction form
    485,306.64/727,516.44 = 410,906.16/x
  3. Step 3: Cross multiply
    485,306.64x = 727,516.44 × 410,906.16
  4. Step 4: Simplify right side
    485,306.64x = 298,940,986,697.27
  5. Step 5: Solve for x
    x = 298,940,986,697.27/485,306.64
  6. Step 6: Final answer
    x = 615,983.71

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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.