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Finding the Fourth Proportional to 400,123.80, 600,185.70 and 354,634.20

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Solution

The fourth proportional to 400,123.80, 600,185.70 and 354,634.20 is: 531,951.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,123.80 : 600,185.70 = 354,634.20 : x
  2. Step 2: Convert to fraction form
    400,123.80/600,185.70 = 354,634.20/x
  3. Step 3: Cross multiply
    400,123.80x = 600,185.70 × 354,634.20
  4. Step 4: Simplify right side
    400,123.80x = 212,846,375,570.94
  5. Step 5: Solve for x
    x = 212,846,375,570.94/400,123.80
  6. Step 6: Final answer
    x = 531,951.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.