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Finding the Fourth Proportional to 291,189.63, 401,840.87 and 163,865.22

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Solution

The fourth proportional to 291,189.63, 401,840.87 and 163,865.22 is: 226,133.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,189.63 : 401,840.87 = 163,865.22 : x
  2. Step 2: Convert to fraction form
    291,189.63/401,840.87 = 163,865.22/x
  3. Step 3: Cross multiply
    291,189.63x = 401,840.87 × 163,865.22
  4. Step 4: Simplify right side
    291,189.63x = 65,847,741,748.22
  5. Step 5: Solve for x
    x = 65,847,741,748.22/291,189.63
  6. Step 6: Final answer
    x = 226,133.54

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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.