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Finding the Fourth Proportional to 328,912.92, 492,972.07 and 160,180.40

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Solution

The fourth proportional to 328,912.92, 492,972.07 and 160,180.40 is: 240,077.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,912.92 : 492,972.07 = 160,180.40 : x
  2. Step 2: Convert to fraction form
    328,912.92/492,972.07 = 160,180.40/x
  3. Step 3: Cross multiply
    328,912.92x = 492,972.07 × 160,180.40
  4. Step 4: Simplify right side
    328,912.92x = 78,964,463,361.43
  5. Step 5: Solve for x
    x = 78,964,463,361.43/328,912.92
  6. Step 6: Final answer
    x = 240,077.11

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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.