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Finding the Fourth Proportional to 299,978.32, 414,074.37 and 172,704.64

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Solution

The fourth proportional to 299,978.32, 414,074.37 and 172,704.64 is: 238,392.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,978.32 : 414,074.37 = 172,704.64 : x
  2. Step 2: Convert to fraction form
    299,978.32/414,074.37 = 172,704.64/x
  3. Step 3: Cross multiply
    299,978.32x = 414,074.37 × 172,704.64
  4. Step 4: Simplify right side
    299,978.32x = 71,512,565,004.08
  5. Step 5: Solve for x
    x = 71,512,565,004.08/299,978.32
  6. Step 6: Final answer
    x = 238,392.44

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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.