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Finding the Fourth Proportional to 428,408.30, 642,612.45 and 218,456.30

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Solution

The fourth proportional to 428,408.30, 642,612.45 and 218,456.30 is: 327,684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,408.30 : 642,612.45 = 218,456.30 : x
  2. Step 2: Convert to fraction form
    428,408.30/642,612.45 = 218,456.30/x
  3. Step 3: Cross multiply
    428,408.30x = 642,612.45 × 218,456.30
  4. Step 4: Simplify right side
    428,408.30x = 140,382,738,160.94
  5. Step 5: Solve for x
    x = 140,382,738,160.94/428,408.30
  6. Step 6: Final answer
    x = 327,684.45

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Similar ratio
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1.5x scale

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.