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Finding the Fourth Proportional to 314,874.27, 434,531.05 and 171,634.34

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Solution

The fourth proportional to 314,874.27, 434,531.05 and 171,634.34 is: 236,857.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,874.27 : 434,531.05 = 171,634.34 : x
  2. Step 2: Convert to fraction form
    314,874.27/434,531.05 = 171,634.34/x
  3. Step 3: Cross multiply
    314,874.27x = 434,531.05 × 171,634.34
  4. Step 4: Simplify right side
    314,874.27x = 74,580,450,633.50
  5. Step 5: Solve for x
    x = 74,580,450,633.50/314,874.27
  6. Step 6: Final answer
    x = 236,857.88

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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.