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Finding the Fourth Proportional to 278,663.75, 384,624.80 and 157,876.19

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Solution

The fourth proportional to 278,663.75, 384,624.80 and 157,876.19 is: 217,908.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,663.75 : 384,624.80 = 157,876.19 : x
  2. Step 2: Convert to fraction form
    278,663.75/384,624.80 = 157,876.19/x
  3. Step 3: Cross multiply
    278,663.75x = 384,624.80 × 157,876.19
  4. Step 4: Simplify right side
    278,663.75x = 60,723,095,291.01
  5. Step 5: Solve for x
    x = 60,723,095,291.01/278,663.75
  6. Step 6: Final answer
    x = 217,908.13

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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.