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Finding the Fourth Proportional to 202,022.82, 303,138.12 and 154,940.40

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Solution

The fourth proportional to 202,022.82, 303,138.12 and 154,940.40 is: 232,490.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,022.82 : 303,138.12 = 154,940.40 : x
  2. Step 2: Convert to fraction form
    202,022.82/303,138.12 = 154,940.40/x
  3. Step 3: Cross multiply
    202,022.82x = 303,138.12 × 154,940.40
  4. Step 4: Simplify right side
    202,022.82x = 46,968,341,568.05
  5. Step 5: Solve for x
    x = 46,968,341,568.05/202,022.82
  6. Step 6: Final answer
    x = 232,490.28

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1.5x scale

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.