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Finding the Fourth Proportional to 299,010.70, 448,537.65 and 99,469.90

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Solution

The fourth proportional to 299,010.70, 448,537.65 and 99,469.90 is: 149,212.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,010.70 : 448,537.65 = 99,469.90 : x
  2. Step 2: Convert to fraction form
    299,010.70/448,537.65 = 99,469.90/x
  3. Step 3: Cross multiply
    299,010.70x = 448,537.65 × 99,469.90
  4. Step 4: Simplify right side
    299,010.70x = 44,615,995,191.74
  5. Step 5: Solve for x
    x = 44,615,995,191.74/299,010.70
  6. Step 6: Final answer
    x = 149,212.04

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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.