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Finding the Fourth Proportional to 331,218, 457,081.92 and 180,316.08

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Solution

The fourth proportional to 331,218, 457,081.92 and 180,316.08 is: 248,836.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,218 : 457,081.92 = 180,316.08 : x
  2. Step 2: Convert to fraction form
    331,218/457,081.92 = 180,316.08/x
  3. Step 3: Cross multiply
    331,218x = 457,081.92 × 180,316.08
  4. Step 4: Simplify right side
    331,218x = 82,419,220,053.27
  5. Step 5: Solve for x
    x = 82,419,220,053.27/331,218
  6. Step 6: Final answer
    x = 248,836.78

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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.