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Finding the Fourth Proportional to 304,890, 420,748.20 and 170,754

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Solution

The fourth proportional to 304,890, 420,748.20 and 170,754 is: 235,640.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,890 : 420,748.20 = 170,754 : x
  2. Step 2: Convert to fraction form
    304,890/420,748.20 = 170,754/x
  3. Step 3: Cross multiply
    304,890x = 420,748.20 × 170,754
  4. Step 4: Simplify right side
    304,890x = 71,844,438,142.80
  5. Step 5: Solve for x
    x = 71,844,438,142.80/304,890
  6. Step 6: Final answer
    x = 235,640.52

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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.