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Finding the Fourth Proportional to 291,134.82, 401,765.28 and 163,810.56

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Solution

The fourth proportional to 291,134.82, 401,765.28 and 163,810.56 is: 226,058.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,134.82 : 401,765.28 = 163,810.56 : x
  2. Step 2: Convert to fraction form
    291,134.82/401,765.28 = 163,810.56/x
  3. Step 3: Cross multiply
    291,134.82x = 401,765.28 × 163,810.56
  4. Step 4: Simplify right side
    291,134.82x = 65,813,395,505.36
  5. Step 5: Solve for x
    x = 65,813,395,505.36/291,134.82
  6. Step 6: Final answer
    x = 226,058.14

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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.