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Finding the Fourth Proportional to 272,939.80, 409,832.10 and 148,523.80

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Solution

The fourth proportional to 272,939.80, 409,832.10 and 148,523.80 is: 223,015.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,939.80 : 409,832.10 = 148,523.80 : x
  2. Step 2: Convert to fraction form
    272,939.80/409,832.10 = 148,523.80/x
  3. Step 3: Cross multiply
    272,939.80x = 409,832.10 × 148,523.80
  4. Step 4: Simplify right side
    272,939.80x = 60,869,820,853.98
  5. Step 5: Solve for x
    x = 60,869,820,853.98/272,939.80
  6. Step 6: Final answer
    x = 223,015.55

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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.