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Finding the Fourth Proportional to 290,583.52, 401,015.52 and 163,256.56

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Solution

The fourth proportional to 290,583.52, 401,015.52 and 163,256.56 is: 225,299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,583.52 : 401,015.52 = 163,256.56 : x
  2. Step 2: Convert to fraction form
    290,583.52/401,015.52 = 163,256.56/x
  3. Step 3: Cross multiply
    290,583.52x = 401,015.52 × 163,256.56
  4. Step 4: Simplify right side
    290,583.52x = 65,468,414,301.81
  5. Step 5: Solve for x
    x = 65,468,414,301.81/290,583.52
  6. Step 6: Final answer
    x = 225,299.82

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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.