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Finding the Fourth Proportional to 283,396.62, 391,082.61 and 156,084.06

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Solution

The fourth proportional to 283,396.62, 391,082.61 and 156,084.06 is: 215,393.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,396.62 : 391,082.61 = 156,084.06 : x
  2. Step 2: Convert to fraction form
    283,396.62/391,082.61 = 156,084.06/x
  3. Step 3: Cross multiply
    283,396.62x = 391,082.61 × 156,084.06
  4. Step 4: Simplify right side
    283,396.62x = 61,041,761,564.20
  5. Step 5: Solve for x
    x = 61,041,761,564.20/283,396.62
  6. Step 6: Final answer
    x = 215,393.40

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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.