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Finding the Fourth Proportional to 278,839.52, 418,259.28 and 101,313.44

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Solution

The fourth proportional to 278,839.52, 418,259.28 and 101,313.44 is: 151,970.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,839.52 : 418,259.28 = 101,313.44 : x
  2. Step 2: Convert to fraction form
    278,839.52/418,259.28 = 101,313.44/x
  3. Step 3: Cross multiply
    278,839.52x = 418,259.28 × 101,313.44
  4. Step 4: Simplify right side
    278,839.52x = 42,375,286,468.72
  5. Step 5: Solve for x
    x = 42,375,286,468.72/278,839.52
  6. Step 6: Final answer
    x = 151,970.16

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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.