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Finding the Fourth Proportional to 290,655.36, 401,100.84 and 163,352.48

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Solution

The fourth proportional to 290,655.36, 401,100.84 and 163,352.48 is: 225,424.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,655.36 : 401,100.84 = 163,352.48 : x
  2. Step 2: Convert to fraction form
    290,655.36/401,100.84 = 163,352.48/x
  3. Step 3: Cross multiply
    290,655.36x = 401,100.84 × 163,352.48
  4. Step 4: Simplify right side
    290,655.36x = 65,520,816,944.08
  5. Step 5: Solve for x
    x = 65,520,816,944.08/290,655.36
  6. Step 6: Final answer
    x = 225,424.42

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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.