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Finding the Fourth Proportional to 274,254.49, 411,317.14 and 154,362.46

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Solution

The fourth proportional to 274,254.49, 411,317.14 and 154,362.46 is: 231,507.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,254.49 : 411,317.14 = 154,362.46 : x
  2. Step 2: Convert to fraction form
    274,254.49/411,317.14 = 154,362.46/x
  3. Step 3: Cross multiply
    274,254.49x = 411,317.14 × 154,362.46
  4. Step 4: Simplify right side
    274,254.49x = 63,491,925,570.56
  5. Step 5: Solve for x
    x = 63,491,925,570.56/274,254.49
  6. Step 6: Final answer
    x = 231,507.33

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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.