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Finding the Fourth Proportional to 400,658.70, 600,763.40 and 274,441.46

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Solution

The fourth proportional to 400,658.70, 600,763.40 and 274,441.46 is: 411,508.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,658.70 : 600,763.40 = 274,441.46 : x
  2. Step 2: Convert to fraction form
    400,658.70/600,763.40 = 274,441.46/x
  3. Step 3: Cross multiply
    400,658.70x = 600,763.40 × 274,441.46
  4. Step 4: Simplify right side
    400,658.70x = 164,874,384,740.27
  5. Step 5: Solve for x
    x = 164,874,384,740.27/400,658.70
  6. Step 6: Final answer
    x = 411,508.31

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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.