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Finding the Fourth Proportional to 388,001.60, 582,175.20 and 177,531.20

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Solution

The fourth proportional to 388,001.60, 582,175.20 and 177,531.20 is: 266,375.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,001.60 : 582,175.20 = 177,531.20 : x
  2. Step 2: Convert to fraction form
    388,001.60/582,175.20 = 177,531.20/x
  3. Step 3: Cross multiply
    388,001.60x = 582,175.20 × 177,531.20
  4. Step 4: Simplify right side
    388,001.60x = 103,354,261,866.24
  5. Step 5: Solve for x
    x = 103,354,261,866.24/388,001.60
  6. Step 6: Final answer
    x = 266,375.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.