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Finding the Fourth Proportional to 299,412.10, 448,728.15 and 121,711.54

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Solution

The fourth proportional to 299,412.10, 448,728.15 and 121,711.54 is: 182,408.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,412.10 : 448,728.15 = 121,711.54 : x
  2. Step 2: Convert to fraction form
    299,412.10/448,728.15 = 121,711.54/x
  3. Step 3: Cross multiply
    299,412.10x = 448,728.15 × 121,711.54
  4. Step 4: Simplify right side
    299,412.10x = 54,615,394,177.85
  5. Step 5: Solve for x
    x = 54,615,394,177.85/299,412.10
  6. Step 6: Final answer
    x = 182,408.77

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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.