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Finding the Fourth Proportional to 319,979.74, 441,553.74 and 191,063.61

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Solution

The fourth proportional to 319,979.74, 441,553.74 and 191,063.61 is: 263,656.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,979.74 : 441,553.74 = 191,063.61 : x
  2. Step 2: Convert to fraction form
    319,979.74/441,553.74 = 191,063.61/x
  3. Step 3: Cross multiply
    319,979.74x = 441,553.74 × 191,063.61
  4. Step 4: Simplify right side
    319,979.74x = 84,364,851,573.40
  5. Step 5: Solve for x
    x = 84,364,851,573.40/319,979.74
  6. Step 6: Final answer
    x = 263,656.85

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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.