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Finding the Fourth Proportional to 283,415.87, 391,095.96 and 156,091.46

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Solution

The fourth proportional to 283,415.87, 391,095.96 and 156,091.46 is: 215,396.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,415.87 : 391,095.96 = 156,091.46 : x
  2. Step 2: Convert to fraction form
    283,415.87/391,095.96 = 156,091.46/x
  3. Step 3: Cross multiply
    283,415.87x = 391,095.96 × 156,091.46
  4. Step 4: Simplify right side
    283,415.87x = 61,046,740,375.05
  5. Step 5: Solve for x
    x = 61,046,740,375.05/283,415.87
  6. Step 6: Final answer
    x = 215,396.34

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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.