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Finding the Fourth Proportional to 283,422.15, 391,104.90 and 156,097.80

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Solution

The fourth proportional to 283,422.15, 391,104.90 and 156,097.80 is: 215,405.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,422.15 : 391,104.90 = 156,097.80 : x
  2. Step 2: Convert to fraction form
    283,422.15/391,104.90 = 156,097.80/x
  3. Step 3: Cross multiply
    283,422.15x = 391,104.90 × 156,097.80
  4. Step 4: Simplify right side
    283,422.15x = 61,050,614,459.22
  5. Step 5: Solve for x
    x = 61,050,614,459.22/283,422.15
  6. Step 6: Final answer
    x = 215,405.23

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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.