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Finding the Fourth Proportional to 492,164.78, 738,247.20 and 159,740.78

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Solution

The fourth proportional to 492,164.78, 738,247.20 and 159,740.78 is: 239,611.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,164.78 : 738,247.20 = 159,740.78 : x
  2. Step 2: Convert to fraction form
    492,164.78/738,247.20 = 159,740.78/x
  3. Step 3: Cross multiply
    492,164.78x = 738,247.20 × 159,740.78
  4. Step 4: Simplify right side
    492,164.78x = 117,928,183,560.82
  5. Step 5: Solve for x
    x = 117,928,183,560.82/492,164.78
  6. Step 6: Final answer
    x = 239,611.18

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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.