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Finding the Fourth Proportional to 272,594.75, 408,975.84 and 139,568.41

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Solution

The fourth proportional to 272,594.75, 408,975.84 and 139,568.41 is: 209,395.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,594.75 : 408,975.84 = 139,568.41 : x
  2. Step 2: Convert to fraction form
    272,594.75/408,975.84 = 139,568.41/x
  3. Step 3: Cross multiply
    272,594.75x = 408,975.84 × 139,568.41
  4. Step 4: Simplify right side
    272,594.75x = 57,080,107,717.21
  5. Step 5: Solve for x
    x = 57,080,107,717.21/272,594.75
  6. Step 6: Final answer
    x = 209,395.48

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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.