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Finding the Fourth Proportional to 356,440.50, 491,766.80 and 203,368.73

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Solution

The fourth proportional to 356,440.50, 491,766.80 and 203,368.73 is: 280,579.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,440.50 : 491,766.80 = 203,368.73 : x
  2. Step 2: Convert to fraction form
    356,440.50/491,766.80 = 203,368.73/x
  3. Step 3: Cross multiply
    356,440.50x = 491,766.80 × 203,368.73
  4. Step 4: Simplify right side
    356,440.50x = 100,009,986,096.49
  5. Step 5: Solve for x
    x = 100,009,986,096.49/356,440.50
  6. Step 6: Final answer
    x = 280,579.75

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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.