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Finding the Fourth Proportional to 314,654.90, 434,222.06 and 171,414.60

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Solution

The fourth proportional to 314,654.90, 434,222.06 and 171,414.60 is: 236,551.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,654.90 : 434,222.06 = 171,414.60 : x
  2. Step 2: Convert to fraction form
    314,654.90/434,222.06 = 171,414.60/x
  3. Step 3: Cross multiply
    314,654.90x = 434,222.06 × 171,414.60
  4. Step 4: Simplify right side
    314,654.90x = 74,432,000,726.08
  5. Step 5: Solve for x
    x = 74,432,000,726.08/314,654.90
  6. Step 6: Final answer
    x = 236,551.22

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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.