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Finding the Fourth Proportional to 298,739, 412,261.10 and 164,600.12

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Solution

The fourth proportional to 298,739, 412,261.10 and 164,600.12 is: 227,148.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,739 : 412,261.10 = 164,600.12 : x
  2. Step 2: Convert to fraction form
    298,739/412,261.10 = 164,600.12/x
  3. Step 3: Cross multiply
    298,739x = 412,261.10 × 164,600.12
  4. Step 4: Simplify right side
    298,739x = 67,858,226,531.33
  5. Step 5: Solve for x
    x = 67,858,226,531.33/298,739
  6. Step 6: Final answer
    x = 227,148.87

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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.