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Finding the Fourth Proportional to 300,187.05, 414,253.51 and 164,217.61

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Solution

The fourth proportional to 300,187.05, 414,253.51 and 164,217.61 is: 226,617.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,187.05 : 414,253.51 = 164,217.61 : x
  2. Step 2: Convert to fraction form
    300,187.05/414,253.51 = 164,217.61/x
  3. Step 3: Cross multiply
    300,187.05x = 414,253.51 × 164,217.61
  4. Step 4: Simplify right side
    300,187.05x = 68,027,721,346.31
  5. Step 5: Solve for x
    x = 68,027,721,346.31/300,187.05
  6. Step 6: Final answer
    x = 226,617.77

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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.