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Finding the Fourth Proportional to 300,129.31, 413,773.13 and 192,512.51

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Solution

The fourth proportional to 300,129.31, 413,773.13 and 192,512.51 is: 265,407.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,129.31 : 413,773.13 = 192,512.51 : x
  2. Step 2: Convert to fraction form
    300,129.31/413,773.13 = 192,512.51/x
  3. Step 3: Cross multiply
    300,129.31x = 413,773.13 × 192,512.51
  4. Step 4: Simplify right side
    300,129.31x = 79,656,500,795.43
  5. Step 5: Solve for x
    x = 79,656,500,795.43/300,129.31
  6. Step 6: Final answer
    x = 265,407.27

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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.