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Finding the Fourth Proportional to 278,247.83, 417,387.89 and 78,551.49

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Solution

The fourth proportional to 278,247.83, 417,387.89 and 78,551.49 is: 117,831.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,247.83 : 417,387.89 = 78,551.49 : x
  2. Step 2: Convert to fraction form
    278,247.83/417,387.89 = 78,551.49/x
  3. Step 3: Cross multiply
    278,247.83x = 417,387.89 × 78,551.49
  4. Step 4: Simplify right side
    278,247.83x = 32,786,440,519.81
  5. Step 5: Solve for x
    x = 32,786,440,519.81/278,247.83
  6. Step 6: Final answer
    x = 117,831.79

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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.