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Finding the Fourth Proportional to 299,062.80, 412,719.84 and 171,778.32

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Solution

The fourth proportional to 299,062.80, 412,719.84 and 171,778.32 is: 237,061.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,062.80 : 412,719.84 = 171,778.32 : x
  2. Step 2: Convert to fraction form
    299,062.80/412,719.84 = 171,778.32/x
  3. Step 3: Cross multiply
    299,062.80x = 412,719.84 × 171,778.32
  4. Step 4: Simplify right side
    299,062.80x = 70,896,320,745.87
  5. Step 5: Solve for x
    x = 70,896,320,745.87/299,062.80
  6. Step 6: Final answer
    x = 237,061.65

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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.