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Finding the Fourth Proportional to 278,523.64, 417,853.32 and 88,983.76

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Solution

The fourth proportional to 278,523.64, 417,853.32 and 88,983.76 is: 133,497.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,523.64 : 417,853.32 = 88,983.76 : x
  2. Step 2: Convert to fraction form
    278,523.64/417,853.32 = 88,983.76/x
  3. Step 3: Cross multiply
    278,523.64x = 417,853.32 × 88,983.76
  4. Step 4: Simplify right side
    278,523.64x = 37,182,159,542.08
  5. Step 5: Solve for x
    x = 37,182,159,542.08/278,523.64
  6. Step 6: Final answer
    x = 133,497.32

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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.