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Finding the Fourth Proportional to 356,862.82, 492,469.70 and 203,948.46

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Solution

The fourth proportional to 356,862.82, 492,469.70 and 203,948.46 is: 281,448.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,862.82 : 492,469.70 = 203,948.46 : x
  2. Step 2: Convert to fraction form
    356,862.82/492,469.70 = 203,948.46/x
  3. Step 3: Cross multiply
    356,862.82x = 492,469.70 × 203,948.46
  4. Step 4: Simplify right side
    356,862.82x = 100,438,436,911.66
  5. Step 5: Solve for x
    x = 100,438,436,911.66/356,862.82
  6. Step 6: Final answer
    x = 281,448.31

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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.