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Finding the Fourth Proportional to 291,527.22, 402,309.81 and 164,190.90

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Solution

The fourth proportional to 291,527.22, 402,309.81 and 164,190.90 is: 226,584.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,527.22 : 402,309.81 = 164,190.90 : x
  2. Step 2: Convert to fraction form
    291,527.22/402,309.81 = 164,190.90/x
  3. Step 3: Cross multiply
    291,527.22x = 402,309.81 × 164,190.90
  4. Step 4: Simplify right side
    291,527.22x = 66,055,609,782.73
  5. Step 5: Solve for x
    x = 66,055,609,782.73/291,527.22
  6. Step 6: Final answer
    x = 226,584.71

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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.