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Finding the Fourth Proportional to 304,382.90, 420,060.78 and 168,414.64

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Solution

The fourth proportional to 304,382.90, 420,060.78 and 168,414.64 is: 232,419.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,382.90 : 420,060.78 = 168,414.64 : x
  2. Step 2: Convert to fraction form
    304,382.90/420,060.78 = 168,414.64/x
  3. Step 3: Cross multiply
    304,382.90x = 420,060.78 × 168,414.64
  4. Step 4: Simplify right side
    304,382.90x = 70,744,383,991.67
  5. Step 5: Solve for x
    x = 70,744,383,991.67/304,382.90
  6. Step 6: Final answer
    x = 232,419.05

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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.