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Finding the Fourth Proportional to 278,521.68, 417,742.44 and 89,003.64

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Solution

The fourth proportional to 278,521.68, 417,742.44 and 89,003.64 is: 133,492.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,521.68 : 417,742.44 = 89,003.64 : x
  2. Step 2: Convert to fraction form
    278,521.68/417,742.44 = 89,003.64/x
  3. Step 3: Cross multiply
    278,521.68x = 417,742.44 × 89,003.64
  4. Step 4: Simplify right side
    278,521.68x = 37,180,597,742.48
  5. Step 5: Solve for x
    x = 37,180,597,742.48/278,521.68
  6. Step 6: Final answer
    x = 133,492.65

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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.