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Finding the Fourth Proportional to 314,870, 434,507.88 and 171,626.96

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Solution

The fourth proportional to 314,870, 434,507.88 and 171,626.96 is: 236,838.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,870 : 434,507.88 = 171,626.96 : x
  2. Step 2: Convert to fraction form
    314,870/434,507.88 = 171,626.96/x
  3. Step 3: Cross multiply
    314,870x = 434,507.88 × 171,626.96
  4. Step 4: Simplify right side
    314,870x = 74,573,266,540.44
  5. Step 5: Solve for x
    x = 74,573,266,540.44/314,870
  6. Step 6: Final answer
    x = 236,838.27

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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.