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Finding the Fourth Proportional to 278,489.63, 417,756.53 and 78,811.27

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Solution

The fourth proportional to 278,489.63, 417,756.53 and 78,811.27 is: 118,223.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,489.63 : 417,756.53 = 78,811.27 : x
  2. Step 2: Convert to fraction form
    278,489.63/417,756.53 = 78,811.27/x
  3. Step 3: Cross multiply
    278,489.63x = 417,756.53 × 78,811.27
  4. Step 4: Simplify right side
    278,489.63x = 32,923,921,832.73
  5. Step 5: Solve for x
    x = 32,923,921,832.73/278,489.63
  6. Step 6: Final answer
    x = 118,223.15

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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.