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Finding the Fourth Proportional to 381,399.13, 572,193.01 and 269,298.98

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Solution

The fourth proportional to 381,399.13, 572,193.01 and 269,298.98 is: 404,015.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,399.13 : 572,193.01 = 269,298.98 : x
  2. Step 2: Convert to fraction form
    381,399.13/572,193.01 = 269,298.98/x
  3. Step 3: Cross multiply
    381,399.13x = 572,193.01 × 269,298.98
  4. Step 4: Simplify right side
    381,399.13x = 154,090,993,577.51
  5. Step 5: Solve for x
    x = 154,090,993,577.51/381,399.13
  6. Step 6: Final answer
    x = 404,015.06

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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.