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Finding the Fourth Proportional to 439,702.60, 657,480.30 and 327,728.20

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Solution

The fourth proportional to 439,702.60, 657,480.30 and 327,728.20 is: 490,046.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,702.60 : 657,480.30 = 327,728.20 : x
  2. Step 2: Convert to fraction form
    439,702.60/657,480.30 = 327,728.20/x
  3. Step 3: Cross multiply
    439,702.60x = 657,480.30 × 327,728.20
  4. Step 4: Simplify right side
    439,702.60x = 215,474,835,254.46
  5. Step 5: Solve for x
    x = 215,474,835,254.46/439,702.60
  6. Step 6: Final answer
    x = 490,046.76

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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.