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Finding the Fourth Proportional to 400,571, 552,635.34 and 264,669.56

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Solution

The fourth proportional to 400,571, 552,635.34 and 264,669.56 is: 365,143.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,571 : 552,635.34 = 264,669.56 : x
  2. Step 2: Convert to fraction form
    400,571/552,635.34 = 264,669.56/x
  3. Step 3: Cross multiply
    400,571x = 552,635.34 × 264,669.56
  4. Step 4: Simplify right side
    400,571x = 146,265,752,278.25
  5. Step 5: Solve for x
    x = 146,265,752,278.25/400,571
  6. Step 6: Final answer
    x = 365,143.14

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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.