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Finding the Fourth Proportional to 278,521.70, 417,782.55 and 248,195.30

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Solution

The fourth proportional to 278,521.70, 417,782.55 and 248,195.30 is: 372,292.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,521.70 : 417,782.55 = 248,195.30 : x
  2. Step 2: Convert to fraction form
    278,521.70/417,782.55 = 248,195.30/x
  3. Step 3: Cross multiply
    278,521.70x = 417,782.55 × 248,195.30
  4. Step 4: Simplify right side
    278,521.70x = 103,691,665,332.02
  5. Step 5: Solve for x
    x = 103,691,665,332.02/278,521.70
  6. Step 6: Final answer
    x = 372,292.95

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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.