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Finding the Fourth Proportional to 283,786, 391,627.38 and 156,466.15

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Solution

The fourth proportional to 283,786, 391,627.38 and 156,466.15 is: 215,924.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,786 : 391,627.38 = 156,466.15 : x
  2. Step 2: Convert to fraction form
    283,786/391,627.38 = 156,466.15/x
  3. Step 3: Cross multiply
    283,786x = 391,627.38 × 156,466.15
  4. Step 4: Simplify right side
    283,786x = 61,276,428,383.19
  5. Step 5: Solve for x
    x = 61,276,428,383.19/283,786
  6. Step 6: Final answer
    x = 215,924.78

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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.