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Finding the Fourth Proportional to 283,612.10, 391,383.90 and 156,287.66

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Solution

The fourth proportional to 283,612.10, 391,383.90 and 156,287.66 is: 215,676.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,612.10 : 391,383.90 = 156,287.66 : x
  2. Step 2: Convert to fraction form
    283,612.10/391,383.90 = 156,287.66/x
  3. Step 3: Cross multiply
    283,612.10x = 391,383.90 × 156,287.66
  4. Step 4: Simplify right side
    283,612.10x = 61,168,471,935.75
  5. Step 5: Solve for x
    x = 61,168,471,935.75/283,612.10
  6. Step 6: Final answer
    x = 215,676.53

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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.