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Finding the Fourth Proportional to 311,694.26, 429,938.62 and 216,166.10

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Solution

The fourth proportional to 311,694.26, 429,938.62 and 216,166.10 is: 298,170.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,694.26 : 429,938.62 = 216,166.10 : x
  2. Step 2: Convert to fraction form
    311,694.26/429,938.62 = 216,166.10/x
  3. Step 3: Cross multiply
    311,694.26x = 429,938.62 × 216,166.10
  4. Step 4: Simplify right side
    311,694.26x = 92,938,151,494.26
  5. Step 5: Solve for x
    x = 92,938,151,494.26/311,694.26
  6. Step 6: Final answer
    x = 298,170.88

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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.