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Finding the Fourth Proportional to 356,706.12, 492,258.45 and 203,764.56

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Solution

The fourth proportional to 356,706.12, 492,258.45 and 203,764.56 is: 281,197.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,706.12 : 492,258.45 = 203,764.56 : x
  2. Step 2: Convert to fraction form
    356,706.12/492,258.45 = 203,764.56/x
  3. Step 3: Cross multiply
    356,706.12x = 492,258.45 × 203,764.56
  4. Step 4: Simplify right side
    356,706.12x = 100,304,826,470.53
  5. Step 5: Solve for x
    x = 100,304,826,470.53/356,706.12
  6. Step 6: Final answer
    x = 281,197.38

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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.