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Finding the Fourth Proportional to 291,076.36, 401,684.70 and 163,751.92

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Solution

The fourth proportional to 291,076.36, 401,684.70 and 163,751.92 is: 225,977.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,076.36 : 401,684.70 = 163,751.92 : x
  2. Step 2: Convert to fraction form
    291,076.36/401,684.70 = 163,751.92/x
  3. Step 3: Cross multiply
    291,076.36x = 401,684.70 × 163,751.92
  4. Step 4: Simplify right side
    291,076.36x = 65,776,640,859.62
  5. Step 5: Solve for x
    x = 65,776,640,859.62/291,076.36
  6. Step 6: Final answer
    x = 225,977.27

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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.