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Finding the Fourth Proportional to 402,257.85, 603,377.40 and 202,524.60

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Solution

The fourth proportional to 402,257.85, 603,377.40 and 202,524.60 is: 303,782.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,257.85 : 603,377.40 = 202,524.60 : x
  2. Step 2: Convert to fraction form
    402,257.85/603,377.40 = 202,524.60/x
  3. Step 3: Cross multiply
    402,257.85x = 603,377.40 × 202,524.60
  4. Step 4: Simplify right side
    402,257.85x = 122,198,769,606.17
  5. Step 5: Solve for x
    x = 122,198,769,606.17/402,257.85
  6. Step 6: Final answer
    x = 303,782.19

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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.