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Finding the Fourth Proportional to 279,984.60, 420,414.30 and 161,886.60

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Solution

The fourth proportional to 279,984.60, 420,414.30 and 161,886.60 is: 243,082.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,984.60 : 420,414.30 = 161,886.60 : x
  2. Step 2: Convert to fraction form
    279,984.60/420,414.30 = 161,886.60/x
  3. Step 3: Cross multiply
    279,984.60x = 420,414.30 × 161,886.60
  4. Step 4: Simplify right side
    279,984.60x = 68,059,441,618.38
  5. Step 5: Solve for x
    x = 68,059,441,618.38/279,984.60
  6. Step 6: Final answer
    x = 243,082.80

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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.