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Finding the Fourth Proportional to 285,277, 393,680.76 and 156,213.13

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Solution

The fourth proportional to 285,277, 393,680.76 and 156,213.13 is: 215,573.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,277 : 393,680.76 = 156,213.13 : x
  2. Step 2: Convert to fraction form
    285,277/393,680.76 = 156,213.13/x
  3. Step 3: Cross multiply
    285,277x = 393,680.76 × 156,213.13
  4. Step 4: Simplify right side
    285,277x = 61,498,103,740.38
  5. Step 5: Solve for x
    x = 61,498,103,740.38/285,277
  6. Step 6: Final answer
    x = 215,573.30

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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.