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Finding the Fourth Proportional to 438,810.40, 657,697.20 and 327,872.80

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Solution

The fourth proportional to 438,810.40, 657,697.20 and 327,872.80 is: 491,421.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,810.40 : 657,697.20 = 327,872.80 : x
  2. Step 2: Convert to fraction form
    438,810.40/657,697.20 = 327,872.80/x
  3. Step 3: Cross multiply
    438,810.40x = 657,697.20 × 327,872.80
  4. Step 4: Simplify right side
    438,810.40x = 215,641,022,516.16
  5. Step 5: Solve for x
    x = 215,641,022,516.16/438,810.40
  6. Step 6: Final answer
    x = 491,421.86

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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.