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Finding the Fourth Proportional to 272,494.13, 408,824.42 and 139,468.64

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Solution

The fourth proportional to 272,494.13, 408,824.42 and 139,468.64 is: 209,245.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,494.13 : 408,824.42 = 139,468.64 : x
  2. Step 2: Convert to fraction form
    272,494.13/408,824.42 = 139,468.64/x
  3. Step 3: Cross multiply
    272,494.13x = 408,824.42 × 139,468.64
  4. Step 4: Simplify right side
    272,494.13x = 57,018,183,114.72
  5. Step 5: Solve for x
    x = 57,018,183,114.72/272,494.13
  6. Step 6: Final answer
    x = 209,245.55

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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.