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Finding the Fourth Proportional to 304,382.85, 420,060.72 and 168,414.59

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Solution

The fourth proportional to 304,382.85, 420,060.72 and 168,414.59 is: 232,418.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,382.85 : 420,060.72 = 168,414.59 : x
  2. Step 2: Convert to fraction form
    304,382.85/420,060.72 = 168,414.59/x
  3. Step 3: Cross multiply
    304,382.85x = 420,060.72 × 168,414.59
  4. Step 4: Simplify right side
    304,382.85x = 70,744,351,833.60
  5. Step 5: Solve for x
    x = 70,744,351,833.60/304,382.85
  6. Step 6: Final answer
    x = 232,418.98

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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.