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Finding the Fourth Proportional to 299,255.34, 412,972.20 and 191,825.31

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Solution

The fourth proportional to 299,255.34, 412,972.20 and 191,825.31 is: 264,718.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,255.34 : 412,972.20 = 191,825.31 : x
  2. Step 2: Convert to fraction form
    299,255.34/412,972.20 = 191,825.31/x
  3. Step 3: Cross multiply
    299,255.34x = 412,972.20 × 191,825.31
  4. Step 4: Simplify right side
    299,255.34x = 79,218,520,286.38
  5. Step 5: Solve for x
    x = 79,218,520,286.38/299,255.34
  6. Step 6: Final answer
    x = 264,718.82

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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.