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Finding the Fourth Proportional to 283,741.88, 391,564.98 and 156,414.68

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Solution

The fourth proportional to 283,741.88, 391,564.98 and 156,414.68 is: 215,852.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,741.88 : 391,564.98 = 156,414.68 : x
  2. Step 2: Convert to fraction form
    283,741.88/391,564.98 = 156,414.68/x
  3. Step 3: Cross multiply
    283,741.88x = 391,564.98 × 156,414.68
  4. Step 4: Simplify right side
    283,741.88x = 61,246,511,045.91
  5. Step 5: Solve for x
    x = 61,246,511,045.91/283,741.88
  6. Step 6: Final answer
    x = 215,852.91

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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.