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Finding the Fourth Proportional to 278,174.58, 417,077.52 and 100,658.49

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Solution

The fourth proportional to 278,174.58, 417,077.52 and 100,658.49 is: 150,921.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,174.58 : 417,077.52 = 100,658.49 : x
  2. Step 2: Convert to fraction form
    278,174.58/417,077.52 = 100,658.49/x
  3. Step 3: Cross multiply
    278,174.58x = 417,077.52 × 100,658.49
  4. Step 4: Simplify right side
    278,174.58x = 41,982,393,376.14
  5. Step 5: Solve for x
    x = 41,982,393,376.14/278,174.58
  6. Step 6: Final answer
    x = 150,921.03

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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.