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Finding the Fourth Proportional to 278,766.72, 418,357.44 and 154,350.72

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Solution

The fourth proportional to 278,766.72, 418,357.44 and 154,350.72 is: 231,640.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,766.72 : 418,357.44 = 154,350.72 : x
  2. Step 2: Convert to fraction form
    278,766.72/418,357.44 = 154,350.72/x
  3. Step 3: Cross multiply
    278,766.72x = 418,357.44 × 154,350.72
  4. Step 4: Simplify right side
    278,766.72x = 64,573,772,081.36
  5. Step 5: Solve for x
    x = 64,573,772,081.36/278,766.72
  6. Step 6: Final answer
    x = 231,640.89

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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.