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Finding the Fourth Proportional to 305,344.95, 421,378.56 and 169,387.83

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Solution

The fourth proportional to 305,344.95, 421,378.56 and 169,387.83 is: 233,756.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,344.95 : 421,378.56 = 169,387.83 : x
  2. Step 2: Convert to fraction form
    305,344.95/421,378.56 = 169,387.83/x
  3. Step 3: Cross multiply
    305,344.95x = 421,378.56 × 169,387.83
  4. Step 4: Simplify right side
    305,344.95x = 71,376,399,886.92
  5. Step 5: Solve for x
    x = 71,376,399,886.92/305,344.95
  6. Step 6: Final answer
    x = 233,756.61

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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.