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Finding the Fourth Proportional to 278,684.92, 384,572.31 and 157,827.07

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Solution

The fourth proportional to 278,684.92, 384,572.31 and 157,827.07 is: 217,794.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,684.92 : 384,572.31 = 157,827.07 : x
  2. Step 2: Convert to fraction form
    278,684.92/384,572.31 = 157,827.07/x
  3. Step 3: Cross multiply
    278,684.92x = 384,572.31 × 157,827.07
  4. Step 4: Simplify right side
    278,684.92x = 60,695,923,192.57
  5. Step 5: Solve for x
    x = 60,695,923,192.57/278,684.92
  6. Step 6: Final answer
    x = 217,794.07

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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.