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Finding the Fourth Proportional to 291,471.75, 402,232.23 and 164,149.47

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Solution

The fourth proportional to 291,471.75, 402,232.23 and 164,149.47 is: 226,526.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,471.75 : 402,232.23 = 164,149.47 : x
  2. Step 2: Convert to fraction form
    291,471.75/402,232.23 = 164,149.47/x
  3. Step 3: Cross multiply
    291,471.75x = 402,232.23 × 164,149.47
  4. Step 4: Simplify right side
    291,471.75x = 66,026,207,371.42
  5. Step 5: Solve for x
    x = 66,026,207,371.42/291,471.75
  6. Step 6: Final answer
    x = 226,526.95

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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.