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Finding the Fourth Proportional to 278,467.92, 417,175.80 and 215,831.76

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Solution

The fourth proportional to 278,467.92, 417,175.80 and 215,831.76 is: 323,339.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,467.92 : 417,175.80 = 215,831.76 : x
  2. Step 2: Convert to fraction form
    278,467.92/417,175.80 = 215,831.76/x
  3. Step 3: Cross multiply
    278,467.92x = 417,175.80 × 215,831.76
  4. Step 4: Simplify right side
    278,467.92x = 90,039,787,143.41
  5. Step 5: Solve for x
    x = 90,039,787,143.41/278,467.92
  6. Step 6: Final answer
    x = 323,339.89

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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.