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Finding the Fourth Proportional to 298,109.28, 446,729.04 and 138,234

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Solution

The fourth proportional to 298,109.28, 446,729.04 and 138,234 is: 207,149.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,109.28 : 446,729.04 = 138,234 : x
  2. Step 2: Convert to fraction form
    298,109.28/446,729.04 = 138,234/x
  3. Step 3: Cross multiply
    298,109.28x = 446,729.04 × 138,234
  4. Step 4: Simplify right side
    298,109.28x = 61,753,142,115.36
  5. Step 5: Solve for x
    x = 61,753,142,115.36/298,109.28
  6. Step 6: Final answer
    x = 207,149.35

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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.