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Finding the Fourth Proportional to 283,422.66, 391,141.02 and 156,098.22

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Solution

The fourth proportional to 283,422.66, 391,141.02 and 156,098.22 is: 215,425.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,422.66 : 391,141.02 = 156,098.22 : x
  2. Step 2: Convert to fraction form
    283,422.66/391,141.02 = 156,098.22/x
  3. Step 3: Cross multiply
    283,422.66x = 391,141.02 × 156,098.22
  4. Step 4: Simplify right side
    283,422.66x = 61,056,416,990.98
  5. Step 5: Solve for x
    x = 61,056,416,990.98/283,422.66
  6. Step 6: Final answer
    x = 215,425.32

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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.