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Finding the Fourth Proportional to 304,638.75, 420,414.61 and 168,672.70

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Solution

The fourth proportional to 304,638.75, 420,414.61 and 168,672.70 is: 232,775.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,638.75 : 420,414.61 = 168,672.70 : x
  2. Step 2: Convert to fraction form
    304,638.75/420,414.61 = 168,672.70/x
  3. Step 3: Cross multiply
    304,638.75x = 420,414.61 × 168,672.70
  4. Step 4: Simplify right side
    304,638.75x = 70,912,467,809.83
  5. Step 5: Solve for x
    x = 70,912,467,809.83/304,638.75
  6. Step 6: Final answer
    x = 232,775.60

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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.