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Finding the Fourth Proportional to 202,312.80, 303,469.20 and 135,784.80

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Solution

The fourth proportional to 202,312.80, 303,469.20 and 135,784.80 is: 203,677.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,312.80 : 303,469.20 = 135,784.80 : x
  2. Step 2: Convert to fraction form
    202,312.80/303,469.20 = 135,784.80/x
  3. Step 3: Cross multiply
    202,312.80x = 303,469.20 × 135,784.80
  4. Step 4: Simplify right side
    202,312.80x = 41,206,504,628.16
  5. Step 5: Solve for x
    x = 41,206,504,628.16/202,312.80
  6. Step 6: Final answer
    x = 203,677.20

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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.