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Finding the Fourth Proportional to 283,767.75, 391,602.15 and 156,447.90

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Solution

The fourth proportional to 283,767.75, 391,602.15 and 156,447.90 is: 215,899.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,767.75 : 391,602.15 = 156,447.90 : x
  2. Step 2: Convert to fraction form
    283,767.75/391,602.15 = 156,447.90/x
  3. Step 3: Cross multiply
    283,767.75x = 391,602.15 × 156,447.90
  4. Step 4: Simplify right side
    283,767.75x = 61,265,334,002.99
  5. Step 5: Solve for x
    x = 61,265,334,002.99/283,767.75
  6. Step 6: Final answer
    x = 215,899.57

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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.