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Finding the Fourth Proportional to 290,496.98, 400,923.25 and 163,172.54

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Solution

The fourth proportional to 290,496.98, 400,923.25 and 163,172.54 is: 225,199.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,496.98 : 400,923.25 = 163,172.54 : x
  2. Step 2: Convert to fraction form
    290,496.98/400,923.25 = 163,172.54/x
  3. Step 3: Cross multiply
    290,496.98x = 400,923.25 × 163,172.54
  4. Step 4: Simplify right side
    290,496.98x = 65,419,662,635.01
  5. Step 5: Solve for x
    x = 65,419,662,635.01/290,496.98
  6. Step 6: Final answer
    x = 225,199.12

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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.