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Finding the Fourth Proportional to 299,245, 412,966.74 and 165,117.64

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Solution

The fourth proportional to 299,245, 412,966.74 and 165,117.64 is: 227,867.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,245 : 412,966.74 = 165,117.64 : x
  2. Step 2: Convert to fraction form
    299,245/412,966.74 = 165,117.64/x
  3. Step 3: Cross multiply
    299,245x = 412,966.74 × 165,117.64
  4. Step 4: Simplify right side
    299,245x = 68,188,093,507.29
  5. Step 5: Solve for x
    x = 68,188,093,507.29/299,245
  6. Step 6: Final answer
    x = 227,867.11

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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.