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Finding the Fourth Proportional to 442,691.34, 663,642.50 and 162,142.98

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Solution

The fourth proportional to 442,691.34, 663,642.50 and 162,142.98 is: 243,069.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,691.34 : 663,642.50 = 162,142.98 : x
  2. Step 2: Convert to fraction form
    442,691.34/663,642.50 = 162,142.98/x
  3. Step 3: Cross multiply
    442,691.34x = 663,642.50 × 162,142.98
  4. Step 4: Simplify right side
    442,691.34x = 107,604,972,604.65
  5. Step 5: Solve for x
    x = 107,604,972,604.65/442,691.34
  6. Step 6: Final answer
    x = 243,069.97

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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.