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Finding the Fourth Proportional to 278,132.40, 417,198.60 and 171,844.20

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Solution

The fourth proportional to 278,132.40, 417,198.60 and 171,844.20 is: 257,766.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,132.40 : 417,198.60 = 171,844.20 : x
  2. Step 2: Convert to fraction form
    278,132.40/417,198.60 = 171,844.20/x
  3. Step 3: Cross multiply
    278,132.40x = 417,198.60 × 171,844.20
  4. Step 4: Simplify right side
    278,132.40x = 71,693,159,658.12
  5. Step 5: Solve for x
    x = 71,693,159,658.12/278,132.40
  6. Step 6: Final answer
    x = 257,766.30

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1.5x scale

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.