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Finding the Fourth Proportional to 408,678,643.20, 613,017,964.80 and 388,523,251.20

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Solution

The fourth proportional to 408,678,643.20, 613,017,964.80 and 388,523,251.20 is: 582,784,876.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,678,643.20 : 613,017,964.80 = 388,523,251.20 : x
  2. Step 2: Convert to fraction form
    408,678,643.20/613,017,964.80 = 388,523,251.20/x
  3. Step 3: Cross multiply
    408,678,643.20x = 613,017,964.80 × 388,523,251.20
  4. Step 4: Simplify right side
    408,678,643.20x = 238,171,732,728,103,136
  5. Step 5: Solve for x
    x = 238,171,732,728,103,136/408,678,643.20
  6. Step 6: Final answer
    x = 582,784,876.80

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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.