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Finding the Fourth Proportional to 299,257, 412,983.32 and 165,129.64

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Solution

The fourth proportional to 299,257, 412,983.32 and 165,129.64 is: 227,883.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,257 : 412,983.32 = 165,129.64 : x
  2. Step 2: Convert to fraction form
    299,257/412,983.32 = 165,129.64/x
  3. Step 3: Cross multiply
    299,257x = 412,983.32 × 165,129.64
  4. Step 4: Simplify right side
    299,257x = 68,195,786,957.60
  5. Step 5: Solve for x
    x = 68,195,786,957.60/299,257
  6. Step 6: Final answer
    x = 227,883.68

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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.