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Finding the Fourth Proportional to 402,380.20, 603,643.20 and 202,196.80

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Solution

The fourth proportional to 402,380.20, 603,643.20 and 202,196.80 is: 303,331.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,380.20 : 603,643.20 = 202,196.80 : x
  2. Step 2: Convert to fraction form
    402,380.20/603,643.20 = 202,196.80/x
  3. Step 3: Cross multiply
    402,380.20x = 603,643.20 × 202,196.80
  4. Step 4: Simplify right side
    402,380.20x = 122,054,723,381.76
  5. Step 5: Solve for x
    x = 122,054,723,381.76/402,380.20
  6. Step 6: Final answer
    x = 303,331.83

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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.