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Finding the Fourth Proportional to 278,204.75, 417,337.80 and 88,621.01

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Solution

The fourth proportional to 278,204.75, 417,337.80 and 88,621.01 is: 132,941.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,204.75 : 417,337.80 = 88,621.01 : x
  2. Step 2: Convert to fraction form
    278,204.75/417,337.80 = 88,621.01/x
  3. Step 3: Cross multiply
    278,204.75x = 417,337.80 × 88,621.01
  4. Step 4: Simplify right side
    278,204.75x = 36,984,897,347.18
  5. Step 5: Solve for x
    x = 36,984,897,347.18/278,204.75
  6. Step 6: Final answer
    x = 132,941.29

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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.