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Finding the Fourth Proportional to 278,577.60, 417,693.60 and 160,190.40

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Solution

The fourth proportional to 278,577.60, 417,693.60 and 160,190.40 is: 240,186.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,577.60 : 417,693.60 = 160,190.40 : x
  2. Step 2: Convert to fraction form
    278,577.60/417,693.60 = 160,190.40/x
  3. Step 3: Cross multiply
    278,577.60x = 417,693.60 × 160,190.40
  4. Step 4: Simplify right side
    278,577.60x = 66,910,504,861.44
  5. Step 5: Solve for x
    x = 66,910,504,861.44/278,577.60
  6. Step 6: Final answer
    x = 240,186.23

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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.