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Finding the Fourth Proportional to 427,234.20, 640,851.30 and 409,032.60

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Solution

The fourth proportional to 427,234.20, 640,851.30 and 409,032.60 is: 613,548.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,234.20 : 640,851.30 = 409,032.60 : x
  2. Step 2: Convert to fraction form
    427,234.20/640,851.30 = 409,032.60/x
  3. Step 3: Cross multiply
    427,234.20x = 640,851.30 × 409,032.60
  4. Step 4: Simplify right side
    427,234.20x = 262,129,073,452.38
  5. Step 5: Solve for x
    x = 262,129,073,452.38/427,234.20
  6. Step 6: Final answer
    x = 613,548.90

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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.