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Finding the Fourth Proportional to 291,951.09, 402,891.84 and 164,625.77

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Solution

The fourth proportional to 291,951.09, 402,891.84 and 164,625.77 is: 227,183.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,951.09 : 402,891.84 = 164,625.77 : x
  2. Step 2: Convert to fraction form
    291,951.09/402,891.84 = 164,625.77/x
  3. Step 3: Cross multiply
    291,951.09x = 402,891.84 × 164,625.77
  4. Step 4: Simplify right side
    291,951.09x = 66,326,380,393.95
  5. Step 5: Solve for x
    x = 66,326,380,393.95/291,951.09
  6. Step 6: Final answer
    x = 227,183.19

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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.