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Finding the Fourth Proportional to 300,134.31, 413,780.02 and 192,517.51

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Solution

The fourth proportional to 300,134.31, 413,780.02 and 192,517.51 is: 265,414.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,134.31 : 413,780.02 = 192,517.51 : x
  2. Step 2: Convert to fraction form
    300,134.31/413,780.02 = 192,517.51/x
  3. Step 3: Cross multiply
    300,134.31x = 413,780.02 × 192,517.51
  4. Step 4: Simplify right side
    300,134.31x = 79,659,899,138.15
  5. Step 5: Solve for x
    x = 79,659,899,138.15/300,134.31
  6. Step 6: Final answer
    x = 265,414.17

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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.