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Finding the Fourth Proportional to 279,903,586.80, 419,855,380.20 and 178,118,857.20

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Solution

The fourth proportional to 279,903,586.80, 419,855,380.20 and 178,118,857.20 is: 267,178,285.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,903,586.80 : 419,855,380.20 = 178,118,857.20 : x
  2. Step 2: Convert to fraction form
    279,903,586.80/419,855,380.20 = 178,118,857.20/x
  3. Step 3: Cross multiply
    279,903,586.80x = 419,855,380.20 × 178,118,857.20
  4. Step 4: Simplify right side
    279,903,586.80x = 74,784,160,510,495,504
  5. Step 5: Solve for x
    x = 74,784,160,510,495,504/279,903,586.80
  6. Step 6: Final answer
    x = 267,178,285.80

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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.