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Finding the Fourth Proportional to 278,725.65, 384,648.51 and 157,865.13

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Solution

The fourth proportional to 278,725.65, 384,648.51 and 157,865.13 is: 217,857.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,725.65 : 384,648.51 = 157,865.13 : x
  2. Step 2: Convert to fraction form
    278,725.65/384,648.51 = 157,865.13/x
  3. Step 3: Cross multiply
    278,725.65x = 384,648.51 × 157,865.13
  4. Step 4: Simplify right side
    278,725.65x = 60,722,587,035.46
  5. Step 5: Solve for x
    x = 60,722,587,035.46/278,725.65
  6. Step 6: Final answer
    x = 217,857.91

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1.5x scale

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.