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Finding the Fourth Proportional to 442,713.78, 664,071.27 and 189,830.97

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Solution

The fourth proportional to 442,713.78, 664,071.27 and 189,830.97 is: 284,746.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,713.78 : 664,071.27 = 189,830.97 : x
  2. Step 2: Convert to fraction form
    442,713.78/664,071.27 = 189,830.97/x
  3. Step 3: Cross multiply
    442,713.78x = 664,071.27 × 189,830.97
  4. Step 4: Simplify right side
    442,713.78x = 126,061,293,333.23
  5. Step 5: Solve for x
    x = 126,061,293,333.23/442,713.78
  6. Step 6: Final answer
    x = 284,746.71

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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.