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Finding the Fourth Proportional to 229,082.90, 343,041.15 and 218,585.30

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Solution

The fourth proportional to 229,082.90, 343,041.15 and 218,585.30 is: 327,321.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,082.90 : 343,041.15 = 218,585.30 : x
  2. Step 2: Convert to fraction form
    229,082.90/343,041.15 = 218,585.30/x
  3. Step 3: Cross multiply
    229,082.90x = 343,041.15 × 218,585.30
  4. Step 4: Simplify right side
    229,082.90x = 74,983,752,685.10
  5. Step 5: Solve for x
    x = 74,983,752,685.10/229,082.90
  6. Step 6: Final answer
    x = 327,321.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.