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Finding the Fourth Proportional to 299,779.89, 413,230.20 and 204,122.13

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Solution

The fourth proportional to 299,779.89, 413,230.20 and 204,122.13 is: 281,371.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,779.89 : 413,230.20 = 204,122.13 : x
  2. Step 2: Convert to fraction form
    299,779.89/413,230.20 = 204,122.13/x
  3. Step 3: Cross multiply
    299,779.89x = 413,230.20 × 204,122.13
  4. Step 4: Simplify right side
    299,779.89x = 84,349,428,604.33
  5. Step 5: Solve for x
    x = 84,349,428,604.33/299,779.89
  6. Step 6: Final answer
    x = 281,371.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.