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Finding the Fourth Proportional to 278,441.61, 417,861.56 and 118,629.55

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Solution

The fourth proportional to 278,441.61, 417,861.56 and 118,629.55 is: 178,029.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,441.61 : 417,861.56 = 118,629.55 : x
  2. Step 2: Convert to fraction form
    278,441.61/417,861.56 = 118,629.55/x
  3. Step 3: Cross multiply
    278,441.61x = 417,861.56 × 118,629.55
  4. Step 4: Simplify right side
    278,441.61x = 49,570,726,959.88
  5. Step 5: Solve for x
    x = 49,570,726,959.88/278,441.61
  6. Step 6: Final answer
    x = 178,029.16

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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.