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Finding the Fourth Proportional to 650,800.30, 898,078.17 and 378,876.01

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Solution

The fourth proportional to 650,800.30, 898,078.17 and 378,876.01 is: 522,833.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,800.30 : 898,078.17 = 378,876.01 : x
  2. Step 2: Convert to fraction form
    650,800.30/898,078.17 = 378,876.01/x
  3. Step 3: Cross multiply
    650,800.30x = 898,078.17 × 378,876.01
  4. Step 4: Simplify right side
    650,800.30x = 340,260,273,717.70
  5. Step 5: Solve for x
    x = 340,260,273,717.70/650,800.30
  6. Step 6: Final answer
    x = 522,833.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.