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Finding the Fourth Proportional to 274,705.40, 412,317.30 and 169,729.40

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Solution

The fourth proportional to 274,705.40, 412,317.30 and 169,729.40 is: 254,754.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,705.40 : 412,317.30 = 169,729.40 : x
  2. Step 2: Convert to fraction form
    274,705.40/412,317.30 = 169,729.40/x
  3. Step 3: Cross multiply
    274,705.40x = 412,317.30 × 169,729.40
  4. Step 4: Simplify right side
    274,705.40x = 69,982,367,938.62
  5. Step 5: Solve for x
    x = 69,982,367,938.62/274,705.40
  6. Step 6: Final answer
    x = 254,754.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.