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Finding the Fourth Proportional to 299,251, 412,966.38 and 165,115

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Solution

The fourth proportional to 299,251, 412,966.38 and 165,115 is: 227,858.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,251 : 412,966.38 = 165,115 : x
  2. Step 2: Convert to fraction form
    299,251/412,966.38 = 165,115/x
  3. Step 3: Cross multiply
    299,251x = 412,966.38 × 165,115
  4. Step 4: Simplify right side
    299,251x = 68,186,943,833.70
  5. Step 5: Solve for x
    x = 68,186,943,833.70/299,251
  6. Step 6: Final answer
    x = 227,858.70

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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.