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Finding the Fourth Proportional to 424,143.72, 636,215.70 and 199,339.08

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Solution

The fourth proportional to 424,143.72, 636,215.70 and 199,339.08 is: 299,008.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,143.72 : 636,215.70 = 199,339.08 : x
  2. Step 2: Convert to fraction form
    424,143.72/636,215.70 = 199,339.08/x
  3. Step 3: Cross multiply
    424,143.72x = 636,215.70 × 199,339.08
  4. Step 4: Simplify right side
    424,143.72x = 126,822,652,319.56
  5. Step 5: Solve for x
    x = 126,822,652,319.56/424,143.72
  6. Step 6: Final answer
    x = 299,008.68

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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.