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Finding the Fourth Proportional to 356,838.22, 492,391.37 and 203,886.31

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Solution

The fourth proportional to 356,838.22, 492,391.37 and 203,886.31 is: 281,337.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,838.22 : 492,391.37 = 203,886.31 : x
  2. Step 2: Convert to fraction form
    356,838.22/492,391.37 = 203,886.31/x
  3. Step 3: Cross multiply
    356,838.22x = 492,391.37 × 203,886.31
  4. Step 4: Simplify right side
    356,838.22x = 100,391,859,505.15
  5. Step 5: Solve for x
    x = 100,391,859,505.15/356,838.22
  6. Step 6: Final answer
    x = 281,337.18

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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.