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Finding the Fourth Proportional to 299,243, 412,963.98 and 165,115.64

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Solution

The fourth proportional to 299,243, 412,963.98 and 165,115.64 is: 227,864.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,243 : 412,963.98 = 165,115.64 : x
  2. Step 2: Convert to fraction form
    299,243/412,963.98 = 165,115.64/x
  3. Step 3: Cross multiply
    299,243x = 412,963.98 × 165,115.64
  4. Step 4: Simplify right side
    299,243x = 68,186,811,854.65
  5. Step 5: Solve for x
    x = 68,186,811,854.65/299,243
  6. Step 6: Final answer
    x = 227,864.35

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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.