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Finding the Fourth Proportional to 278,449.22, 417,849.53 and 118,524.90

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Solution

The fourth proportional to 278,449.22, 417,849.53 and 118,524.90 is: 177,862.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,449.22 : 417,849.53 = 118,524.90 : x
  2. Step 2: Convert to fraction form
    278,449.22/417,849.53 = 118,524.90/x
  3. Step 3: Cross multiply
    278,449.22x = 417,849.53 × 118,524.90
  4. Step 4: Simplify right side
    278,449.22x = 49,525,575,399.31
  5. Step 5: Solve for x
    x = 49,525,575,399.31/278,449.22
  6. Step 6: Final answer
    x = 177,862.15

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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.