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Finding the Fourth Proportional to 420,633.89, 580,541.42 and 267,512.44

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Solution

The fourth proportional to 420,633.89, 580,541.42 and 267,512.44 is: 369,209.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,633.89 : 580,541.42 = 267,512.44 : x
  2. Step 2: Convert to fraction form
    420,633.89/580,541.42 = 267,512.44/x
  3. Step 3: Cross multiply
    420,633.89x = 580,541.42 × 267,512.44
  4. Step 4: Simplify right side
    420,633.89x = 155,302,047,545.00
  5. Step 5: Solve for x
    x = 155,302,047,545.00/420,633.89
  6. Step 6: Final answer
    x = 369,209.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.