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Finding the Fourth Proportional to 311,781.69, 429,971.80 and 204,312.69

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Solution

The fourth proportional to 311,781.69, 429,971.80 and 204,312.69 is: 281,763.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,781.69 : 429,971.80 = 204,312.69 : x
  2. Step 2: Convert to fraction form
    311,781.69/429,971.80 = 204,312.69/x
  3. Step 3: Cross multiply
    311,781.69x = 429,971.80 × 204,312.69
  4. Step 4: Simplify right side
    311,781.69x = 87,848,695,082.14
  5. Step 5: Solve for x
    x = 87,848,695,082.14/311,781.69
  6. Step 6: Final answer
    x = 281,763.48

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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.