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Finding the Fourth Proportional to 291,059.78, 401,661.90 and 163,735.47

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Solution

The fourth proportional to 291,059.78, 401,661.90 and 163,735.47 is: 225,954.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,059.78 : 401,661.90 = 163,735.47 : x
  2. Step 2: Convert to fraction form
    291,059.78/401,661.90 = 163,735.47/x
  3. Step 3: Cross multiply
    291,059.78x = 401,661.90 × 163,735.47
  4. Step 4: Simplify right side
    291,059.78x = 65,766,299,977.59
  5. Step 5: Solve for x
    x = 65,766,299,977.59/291,059.78
  6. Step 6: Final answer
    x = 225,954.62

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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.