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Finding the Fourth Proportional to 665,047.60, 996,915.30 and 327,812.20

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Solution

The fourth proportional to 665,047.60, 996,915.30 and 327,812.20 is: 491,394.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,047.60 : 996,915.30 = 327,812.20 : x
  2. Step 2: Convert to fraction form
    665,047.60/996,915.30 = 327,812.20/x
  3. Step 3: Cross multiply
    665,047.60x = 996,915.30 × 327,812.20
  4. Step 4: Simplify right side
    665,047.60x = 326,800,997,706.66
  5. Step 5: Solve for x
    x = 326,800,997,706.66/665,047.60
  6. Step 6: Final answer
    x = 491,394.90

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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.