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Finding the Fourth Proportional to 291,073.23, 401,679.41 and 163,749.87

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Solution

The fourth proportional to 291,073.23, 401,679.41 and 163,749.87 is: 225,973.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,073.23 : 401,679.41 = 163,749.87 : x
  2. Step 2: Convert to fraction form
    291,073.23/401,679.41 = 163,749.87/x
  3. Step 3: Cross multiply
    291,073.23x = 401,679.41 × 163,749.87
  4. Step 4: Simplify right side
    291,073.23x = 65,774,950,350.43
  5. Step 5: Solve for x
    x = 65,774,950,350.43/291,073.23
  6. Step 6: Final answer
    x = 225,973.89

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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.