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Finding the Fourth Proportional to 202,496.80, 303,745.20 and 199,386.40

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Solution

The fourth proportional to 202,496.80, 303,745.20 and 199,386.40 is: 299,079.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,496.80 : 303,745.20 = 199,386.40 : x
  2. Step 2: Convert to fraction form
    202,496.80/303,745.20 = 199,386.40/x
  3. Step 3: Cross multiply
    202,496.80x = 303,745.20 × 199,386.40
  4. Step 4: Simplify right side
    202,496.80x = 60,562,661,945.28
  5. Step 5: Solve for x
    x = 60,562,661,945.28/202,496.80
  6. Step 6: Final answer
    x = 299,079.60

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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.