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Finding the Fourth Proportional to 291,271.52, 401,944.20 and 163,958.96

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Solution

The fourth proportional to 291,271.52, 401,944.20 and 163,958.96 is: 226,257.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,271.52 : 401,944.20 = 163,958.96 : x
  2. Step 2: Convert to fraction form
    291,271.52/401,944.20 = 163,958.96/x
  3. Step 3: Cross multiply
    291,271.52x = 401,944.20 × 163,958.96
  4. Step 4: Simplify right side
    291,271.52x = 65,902,353,010.03
  5. Step 5: Solve for x
    x = 65,902,353,010.03/291,271.52
  6. Step 6: Final answer
    x = 226,257.46

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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.