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Finding the Fourth Proportional to 198,326.72, 296,825.88 and 162,786.89

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Solution

The fourth proportional to 198,326.72, 296,825.88 and 162,786.89 is: 243,635.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,326.72 : 296,825.88 = 162,786.89 : x
  2. Step 2: Convert to fraction form
    198,326.72/296,825.88 = 162,786.89/x
  3. Step 3: Cross multiply
    198,326.72x = 296,825.88 × 162,786.89
  4. Step 4: Simplify right side
    198,326.72x = 48,319,361,876.71
  5. Step 5: Solve for x
    x = 48,319,361,876.71/198,326.72
  6. Step 6: Final answer
    x = 243,635.16

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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.