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Finding the Fourth Proportional to 299,965.32, 414,056.39 and 172,691.64

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Solution

The fourth proportional to 299,965.32, 414,056.39 and 172,691.64 is: 238,374.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,965.32 : 414,056.39 = 172,691.64 : x
  2. Step 2: Convert to fraction form
    299,965.32/414,056.39 = 172,691.64/x
  3. Step 3: Cross multiply
    299,965.32x = 414,056.39 × 172,691.64
  4. Step 4: Simplify right side
    299,965.32x = 71,504,076,178.12
  5. Step 5: Solve for x
    x = 71,504,076,178.12/299,965.32
  6. Step 6: Final answer
    x = 238,374.48

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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.