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Finding the Fourth Proportional to 278,428.08, 417,706.92 and 120,672.48

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Solution

The fourth proportional to 278,428.08, 417,706.92 and 120,672.48 is: 181,036.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,428.08 : 417,706.92 = 120,672.48 : x
  2. Step 2: Convert to fraction form
    278,428.08/417,706.92 = 120,672.48/x
  3. Step 3: Cross multiply
    278,428.08x = 417,706.92 × 120,672.48
  4. Step 4: Simplify right side
    278,428.08x = 50,405,729,949.56
  5. Step 5: Solve for x
    x = 50,405,729,949.56/278,428.08
  6. Step 6: Final answer
    x = 181,036.80

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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.