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Finding the Fourth Proportional to 278,114.40, 417,171.60 and 165,921.30

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Solution

The fourth proportional to 278,114.40, 417,171.60 and 165,921.30 is: 248,881.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,114.40 : 417,171.60 = 165,921.30 : x
  2. Step 2: Convert to fraction form
    278,114.40/417,171.60 = 165,921.30/x
  3. Step 3: Cross multiply
    278,114.40x = 417,171.60 × 165,921.30
  4. Step 4: Simplify right side
    278,114.40x = 69,217,654,195.08
  5. Step 5: Solve for x
    x = 69,217,654,195.08/278,114.40
  6. Step 6: Final answer
    x = 248,881.95

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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.