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Finding the Fourth Proportional to 356,853.31, 492,377.82 and 203,842.59

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Solution

The fourth proportional to 356,853.31, 492,377.82 and 203,842.59 is: 281,257.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,853.31 : 492,377.82 = 203,842.59 : x
  2. Step 2: Convert to fraction form
    356,853.31/492,377.82 = 203,842.59/x
  3. Step 3: Cross multiply
    356,853.31x = 492,377.82 × 203,842.59
  4. Step 4: Simplify right side
    356,853.31x = 100,367,571,392.77
  5. Step 5: Solve for x
    x = 100,367,571,392.77/356,853.31
  6. Step 6: Final answer
    x = 281,257.22

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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.