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Finding the Fourth Proportional to 291,691.76, 402,534.63 and 164,371.91

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Solution

The fourth proportional to 291,691.76, 402,534.63 and 164,371.91 is: 226,833.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,691.76 : 402,534.63 = 164,371.91 : x
  2. Step 2: Convert to fraction form
    291,691.76/402,534.63 = 164,371.91/x
  3. Step 3: Cross multiply
    291,691.76x = 402,534.63 × 164,371.91
  4. Step 4: Simplify right side
    291,691.76x = 66,165,384,400.25
  5. Step 5: Solve for x
    x = 66,165,384,400.25/291,691.76
  6. Step 6: Final answer
    x = 226,833.23

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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.