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Finding the Fourth Proportional to 278,782.56, 418,201.20 and 160,224.48

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Solution

The fourth proportional to 278,782.56, 418,201.20 and 160,224.48 is: 240,352.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,782.56 : 418,201.20 = 160,224.48 : x
  2. Step 2: Convert to fraction form
    278,782.56/418,201.20 = 160,224.48/x
  3. Step 3: Cross multiply
    278,782.56x = 418,201.20 × 160,224.48
  4. Step 4: Simplify right side
    278,782.56x = 67,006,069,805.38
  5. Step 5: Solve for x
    x = 67,006,069,805.38/278,782.56
  6. Step 6: Final answer
    x = 240,352.44

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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.