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Finding the Fourth Proportional to 206,969.40, 310,211.10 and 204,753.24

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Solution

The fourth proportional to 206,969.40, 310,211.10 and 204,753.24 is: 306,889.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,969.40 : 310,211.10 = 204,753.24 : x
  2. Step 2: Convert to fraction form
    206,969.40/310,211.10 = 204,753.24/x
  3. Step 3: Cross multiply
    206,969.40x = 310,211.10 × 204,753.24
  4. Step 4: Simplify right side
    206,969.40x = 63,516,727,808.96
  5. Step 5: Solve for x
    x = 63,516,727,808.96/206,969.40
  6. Step 6: Final answer
    x = 306,889.46

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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.