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Finding the Fourth Proportional to 290,240.56, 400,557 and 161,203.78

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Solution

The fourth proportional to 290,240.56, 400,557 and 161,203.78 is: 222,475.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,240.56 : 400,557 = 161,203.78 : x
  2. Step 2: Convert to fraction form
    290,240.56/400,557 = 161,203.78/x
  3. Step 3: Cross multiply
    290,240.56x = 400,557 × 161,203.78
  4. Step 4: Simplify right side
    290,240.56x = 64,571,302,505.46
  5. Step 5: Solve for x
    x = 64,571,302,505.46/290,240.56
  6. Step 6: Final answer
    x = 222,475.12

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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.