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Finding the Fourth Proportional to 297,371.72, 410,373.32 and 161,405.66

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Solution

The fourth proportional to 297,371.72, 410,373.32 and 161,405.66 is: 222,739.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,371.72 : 410,373.32 = 161,405.66 : x
  2. Step 2: Convert to fraction form
    297,371.72/410,373.32 = 161,405.66/x
  3. Step 3: Cross multiply
    297,371.72x = 410,373.32 × 161,405.66
  4. Step 4: Simplify right side
    297,371.72x = 66,236,573,702.10
  5. Step 5: Solve for x
    x = 66,236,573,702.10/297,371.72
  6. Step 6: Final answer
    x = 222,739.99

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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.