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Finding the Fourth Proportional to 305,254.75, 421,251.56 and 169,309.52

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Solution

The fourth proportional to 305,254.75, 421,251.56 and 169,309.52 is: 233,647.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,254.75 : 421,251.56 = 169,309.52 : x
  2. Step 2: Convert to fraction form
    305,254.75/421,251.56 = 169,309.52/x
  3. Step 3: Cross multiply
    305,254.75x = 421,251.56 × 169,309.52
  4. Step 4: Simplify right side
    305,254.75x = 71,321,899,422.85
  5. Step 5: Solve for x
    x = 71,321,899,422.85/305,254.75
  6. Step 6: Final answer
    x = 233,647.14

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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.