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Finding the Fourth Proportional to 278,456.76, 384,178.86 and 157,586.04

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Solution

The fourth proportional to 278,456.76, 384,178.86 and 157,586.04 is: 217,416.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,456.76 : 384,178.86 = 157,586.04 : x
  2. Step 2: Convert to fraction form
    278,456.76/384,178.86 = 157,586.04/x
  3. Step 3: Cross multiply
    278,456.76x = 384,178.86 × 157,586.04
  4. Step 4: Simplify right side
    278,456.76x = 60,541,225,199.11
  5. Step 5: Solve for x
    x = 60,541,225,199.11/278,456.76
  6. Step 6: Final answer
    x = 217,416.97

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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.