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Finding the Fourth Proportional to 278,584.80, 417,879.60 and 78,909.60

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Solution

The fourth proportional to 278,584.80, 417,879.60 and 78,909.60 is: 118,365.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,584.80 : 417,879.60 = 78,909.60 : x
  2. Step 2: Convert to fraction form
    278,584.80/417,879.60 = 78,909.60/x
  3. Step 3: Cross multiply
    278,584.80x = 417,879.60 × 78,909.60
  4. Step 4: Simplify right side
    278,584.80x = 32,974,712,084.16
  5. Step 5: Solve for x
    x = 32,974,712,084.16/278,584.80
  6. Step 6: Final answer
    x = 118,365.08

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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.