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Finding the Fourth Proportional to 278,847.59, 384,808.37 and 157,988.60

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Solution

The fourth proportional to 278,847.59, 384,808.37 and 157,988.60 is: 218,023.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,847.59 : 384,808.37 = 157,988.60 : x
  2. Step 2: Convert to fraction form
    278,847.59/384,808.37 = 157,988.60/x
  3. Step 3: Cross multiply
    278,847.59x = 384,808.37 × 157,988.60
  4. Step 4: Simplify right side
    278,847.59x = 60,795,332,930.60
  5. Step 5: Solve for x
    x = 60,795,332,930.60/278,847.59
  6. Step 6: Final answer
    x = 218,023.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.