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Finding the Fourth Proportional to 279,937,510.80, 419,906,266.20 and 178,152,781.20

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Solution

The fourth proportional to 279,937,510.80, 419,906,266.20 and 178,152,781.20 is: 267,229,171.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,937,510.80 : 419,906,266.20 = 178,152,781.20 : x
  2. Step 2: Convert to fraction form
    279,937,510.80/419,906,266.20 = 178,152,781.20/x
  3. Step 3: Cross multiply
    279,937,510.80x = 419,906,266.20 × 178,152,781.20
  4. Step 4: Simplify right side
    279,937,510.80x = 74,807,469,166,837,552
  5. Step 5: Solve for x
    x = 74,807,469,166,837,552/279,937,510.80
  6. Step 6: Final answer
    x = 267,229,171.80

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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.