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Finding the Fourth Proportional to 299,166.08, 448,404.60 and 121,478

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Solution

The fourth proportional to 299,166.08, 448,404.60 and 121,478 is: 182,077.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,166.08 : 448,404.60 = 121,478 : x
  2. Step 2: Convert to fraction form
    299,166.08/448,404.60 = 121,478/x
  3. Step 3: Cross multiply
    299,166.08x = 448,404.60 × 121,478
  4. Step 4: Simplify right side
    299,166.08x = 54,471,293,998.80
  5. Step 5: Solve for x
    x = 54,471,293,998.80/299,166.08
  6. Step 6: Final answer
    x = 182,077.11

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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.