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Finding the Fourth Proportional to 548,902.68, 822,931.92 and 278,808.90

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Solution

The fourth proportional to 548,902.68, 822,931.92 and 278,808.90 is: 417,998.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,902.68 : 822,931.92 = 278,808.90 : x
  2. Step 2: Convert to fraction form
    548,902.68/822,931.92 = 278,808.90/x
  3. Step 3: Cross multiply
    548,902.68x = 822,931.92 × 278,808.90
  4. Step 4: Simplify right side
    548,902.68x = 229,440,741,996.04
  5. Step 5: Solve for x
    x = 229,440,741,996.04/548,902.68
  6. Step 6: Final answer
    x = 417,998.95

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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.