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Finding the Fourth Proportional to 388,460,469.60, 582,690,704.40 and 266,016,463.20

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Solution

The fourth proportional to 388,460,469.60, 582,690,704.40 and 266,016,463.20 is: 399,024,694.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,460,469.60 : 582,690,704.40 = 266,016,463.20 : x
  2. Step 2: Convert to fraction form
    388,460,469.60/582,690,704.40 = 266,016,463.20/x
  3. Step 3: Cross multiply
    388,460,469.60x = 582,690,704.40 × 266,016,463.20
  4. Step 4: Simplify right side
    388,460,469.60x = 155,005,320,324,004,672
  5. Step 5: Solve for x
    x = 155,005,320,324,004,672/388,460,469.60
  6. Step 6: Final answer
    x = 399,024,694.80

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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.