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Finding the Fourth Proportional to 305,725.80, 421,909.52 and 169,765.48

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Solution

The fourth proportional to 305,725.80, 421,909.52 and 169,765.48 is: 234,280.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,725.80 : 421,909.52 = 169,765.48 : x
  2. Step 2: Convert to fraction form
    305,725.80/421,909.52 = 169,765.48/x
  3. Step 3: Cross multiply
    305,725.80x = 421,909.52 × 169,765.48
  4. Step 4: Simplify right side
    305,725.80x = 71,625,671,330.54
  5. Step 5: Solve for x
    x = 71,625,671,330.54/305,725.80
  6. Step 6: Final answer
    x = 234,280.76

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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.