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Finding the Fourth Proportional to 290,943.92, 401,496.30 and 168,441.46

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Solution

The fourth proportional to 290,943.92, 401,496.30 and 168,441.46 is: 232,445.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,943.92 : 401,496.30 = 168,441.46 : x
  2. Step 2: Convert to fraction form
    290,943.92/401,496.30 = 168,441.46/x
  3. Step 3: Cross multiply
    290,943.92x = 401,496.30 × 168,441.46
  4. Step 4: Simplify right side
    290,943.92x = 67,628,621,952.86
  5. Step 5: Solve for x
    x = 67,628,621,952.86/290,943.92
  6. Step 6: Final answer
    x = 232,445.56

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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.