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Finding the Fourth Proportional to 305,344.45, 421,377.87 and 169,387.32

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Solution

The fourth proportional to 305,344.45, 421,377.87 and 169,387.32 is: 233,755.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,344.45 : 421,377.87 = 169,387.32 : x
  2. Step 2: Convert to fraction form
    305,344.45/421,377.87 = 169,387.32/x
  3. Step 3: Cross multiply
    305,344.45x = 421,377.87 × 169,387.32
  4. Step 4: Simplify right side
    305,344.45x = 71,376,068,106.61
  5. Step 5: Solve for x
    x = 71,376,068,106.61/305,344.45
  6. Step 6: Final answer
    x = 233,755.90

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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.