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Finding the Fourth Proportional to 283,396.50, 391,087.26 and 156,071.88

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Solution

The fourth proportional to 283,396.50, 391,087.26 and 156,071.88 is: 215,379.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,396.50 : 391,087.26 = 156,071.88 : x
  2. Step 2: Convert to fraction form
    283,396.50/391,087.26 = 156,071.88/x
  3. Step 3: Cross multiply
    283,396.50x = 391,087.26 × 156,071.88
  4. Step 4: Simplify right side
    283,396.50x = 61,037,723,912.25
  5. Step 5: Solve for x
    x = 61,037,723,912.25/283,396.50
  6. Step 6: Final answer
    x = 215,379.24

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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.