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Finding the Fourth Proportional to 278,916.16, 418,139.16 and 121,025.92

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Solution

The fourth proportional to 278,916.16, 418,139.16 and 121,025.92 is: 181,436.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,916.16 : 418,139.16 = 121,025.92 : x
  2. Step 2: Convert to fraction form
    278,916.16/418,139.16 = 121,025.92/x
  3. Step 3: Cross multiply
    278,916.16x = 418,139.16 × 121,025.92
  4. Step 4: Simplify right side
    278,916.16x = 50,605,676,527.03
  5. Step 5: Solve for x
    x = 50,605,676,527.03/278,916.16
  6. Step 6: Final answer
    x = 181,436.88

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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.