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Finding the Fourth Proportional to 283,771.56, 391,622.40 and 156,447

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Solution

The fourth proportional to 283,771.56, 391,622.40 and 156,447 is: 215,906.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,771.56 : 391,622.40 = 156,447 : x
  2. Step 2: Convert to fraction form
    283,771.56/391,622.40 = 156,447/x
  3. Step 3: Cross multiply
    283,771.56x = 391,622.40 × 156,447
  4. Step 4: Simplify right side
    283,771.56x = 61,268,149,612.80
  5. Step 5: Solve for x
    x = 61,268,149,612.80/283,771.56
  6. Step 6: Final answer
    x = 215,906.59

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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.