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Finding the Fourth Proportional to 424,140.72, 636,211.20 and 199,336.08

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Solution

The fourth proportional to 424,140.72, 636,211.20 and 199,336.08 is: 299,004.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,140.72 : 636,211.20 = 199,336.08 : x
  2. Step 2: Convert to fraction form
    424,140.72/636,211.20 = 199,336.08/x
  3. Step 3: Cross multiply
    424,140.72x = 636,211.20 × 199,336.08
  4. Step 4: Simplify right side
    424,140.72x = 126,819,846,660.10
  5. Step 5: Solve for x
    x = 126,819,846,660.10/424,140.72
  6. Step 6: Final answer
    x = 299,004.18

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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.