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Finding the Fourth Proportional to 278,059.80, 417,089.70 and 172,824.60

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Solution

The fourth proportional to 278,059.80, 417,089.70 and 172,824.60 is: 259,236.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,059.80 : 417,089.70 = 172,824.60 : x
  2. Step 2: Convert to fraction form
    278,059.80/417,089.70 = 172,824.60/x
  3. Step 3: Cross multiply
    278,059.80x = 417,089.70 × 172,824.60
  4. Step 4: Simplify right side
    278,059.80x = 72,083,360,566.62
  5. Step 5: Solve for x
    x = 72,083,360,566.62/278,059.80
  6. Step 6: Final answer
    x = 259,236.90

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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.