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Finding the Fourth Proportional to 812,705.92, 1,219,139 and 280,156.88

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Solution

The fourth proportional to 812,705.92, 1,219,139 and 280,156.88 is: 420,262.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,705.92 : 1,219,139 = 280,156.88 : x
  2. Step 2: Convert to fraction form
    812,705.92/1,219,139 = 280,156.88/x
  3. Step 3: Cross multiply
    812,705.92x = 1,219,139 × 280,156.88
  4. Step 4: Simplify right side
    812,705.92x = 341,550,178,526.32
  5. Step 5: Solve for x
    x = 341,550,178,526.32/812,705.92
  6. Step 6: Final answer
    x = 420,262.94

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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.