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Finding the Fourth Proportional to 812,697.92, 1,219,127 and 280,148.84

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Solution

The fourth proportional to 812,697.92, 1,219,127 and 280,148.84 is: 420,250.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,697.92 : 1,219,127 = 280,148.84 : x
  2. Step 2: Convert to fraction form
    812,697.92/1,219,127 = 280,148.84/x
  3. Step 3: Cross multiply
    812,697.92x = 1,219,127 × 280,148.84
  4. Step 4: Simplify right side
    812,697.92x = 341,537,014,862.68
  5. Step 5: Solve for x
    x = 341,537,014,862.68/812,697.92
  6. Step 6: Final answer
    x = 420,250.88

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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.