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Finding the Fourth Proportional to 308,170.62, 462,164.01 and 130,674.78

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Solution

The fourth proportional to 308,170.62, 462,164.01 and 130,674.78 is: 195,973.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,170.62 : 462,164.01 = 130,674.78 : x
  2. Step 2: Convert to fraction form
    308,170.62/462,164.01 = 130,674.78/x
  3. Step 3: Cross multiply
    308,170.62x = 462,164.01 × 130,674.78
  4. Step 4: Simplify right side
    308,170.62x = 60,393,180,330.67
  5. Step 5: Solve for x
    x = 60,393,180,330.67/308,170.62
  6. Step 6: Final answer
    x = 195,973.19

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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.