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Finding the Fourth Proportional to 311,415.57, 429,753.45 and 168,175.59

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Solution

The fourth proportional to 311,415.57, 429,753.45 and 168,175.59 is: 232,082.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,415.57 : 429,753.45 = 168,175.59 : x
  2. Step 2: Convert to fraction form
    311,415.57/429,753.45 = 168,175.59/x
  3. Step 3: Cross multiply
    311,415.57x = 429,753.45 × 168,175.59
  4. Step 4: Simplify right side
    311,415.57x = 72,274,040,008.29
  5. Step 5: Solve for x
    x = 72,274,040,008.29/311,415.57
  6. Step 6: Final answer
    x = 232,082.29

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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.