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Finding the Fourth Proportional to 291,043.48, 401,634.06 and 170,256.28

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Solution

The fourth proportional to 291,043.48, 401,634.06 and 170,256.28 is: 234,950.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,043.48 : 401,634.06 = 170,256.28 : x
  2. Step 2: Convert to fraction form
    291,043.48/401,634.06 = 170,256.28/x
  3. Step 3: Cross multiply
    291,043.48x = 401,634.06 × 170,256.28
  4. Step 4: Simplify right side
    291,043.48x = 68,380,720,976.90
  5. Step 5: Solve for x
    x = 68,380,720,976.90/291,043.48
  6. Step 6: Final answer
    x = 234,950.19

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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.