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Finding the Fourth Proportional to 202,398.57, 303,191.78 and 185,863.77

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Solution

The fourth proportional to 202,398.57, 303,191.78 and 185,863.77 is: 278,422.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,398.57 : 303,191.78 = 185,863.77 : x
  2. Step 2: Convert to fraction form
    202,398.57/303,191.78 = 185,863.77/x
  3. Step 3: Cross multiply
    202,398.57x = 303,191.78 × 185,863.77
  4. Step 4: Simplify right side
    202,398.57x = 56,352,366,334.49
  5. Step 5: Solve for x
    x = 56,352,366,334.49/202,398.57
  6. Step 6: Final answer
    x = 278,422.75

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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.