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Finding the Fourth Proportional to 315,228, 434,955.12 and 187,915.44

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Solution

The fourth proportional to 315,228, 434,955.12 and 187,915.44 is: 259,287.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,228 : 434,955.12 = 187,915.44 : x
  2. Step 2: Convert to fraction form
    315,228/434,955.12 = 187,915.44/x
  3. Step 3: Cross multiply
    315,228x = 434,955.12 × 187,915.44
  4. Step 4: Simplify right side
    315,228x = 81,734,782,755.05
  5. Step 5: Solve for x
    x = 81,734,782,755.05/315,228
  6. Step 6: Final answer
    x = 259,287.83

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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.