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Finding the Fourth Proportional to 296,376.26, 408,995.69 and 160,407

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Solution

The fourth proportional to 296,376.26, 408,995.69 and 160,407 is: 221,359.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,376.26 : 408,995.69 = 160,407 : x
  2. Step 2: Convert to fraction form
    296,376.26/408,995.69 = 160,407/x
  3. Step 3: Cross multiply
    296,376.26x = 408,995.69 × 160,407
  4. Step 4: Simplify right side
    296,376.26x = 65,605,770,843.80
  5. Step 5: Solve for x
    x = 65,605,770,843.80/296,376.26
  6. Step 6: Final answer
    x = 221,359.74

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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.