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Finding the Fourth Proportional to 200,359.09, 275,938 and 154,869.49

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Solution

The fourth proportional to 200,359.09, 275,938 and 154,869.49 is: 213,288.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,359.09 : 275,938 = 154,869.49 : x
  2. Step 2: Convert to fraction form
    200,359.09/275,938 = 154,869.49/x
  3. Step 3: Cross multiply
    200,359.09x = 275,938 × 154,869.49
  4. Step 4: Simplify right side
    200,359.09x = 42,734,377,331.62
  5. Step 5: Solve for x
    x = 42,734,377,331.62/200,359.09
  6. Step 6: Final answer
    x = 213,288.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.