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Finding the Fourth Proportional to 305,226, 421,191.28 and 169,254.96

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Solution

The fourth proportional to 305,226, 421,191.28 and 169,254.96 is: 233,560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,226 : 421,191.28 = 169,254.96 : x
  2. Step 2: Convert to fraction form
    305,226/421,191.28 = 169,254.96/x
  3. Step 3: Cross multiply
    305,226x = 421,191.28 × 169,254.96
  4. Step 4: Simplify right side
    305,226x = 71,288,713,248.75
  5. Step 5: Solve for x
    x = 71,288,713,248.75/305,226
  6. Step 6: Final answer
    x = 233,560.42

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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.