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Finding the Fourth Proportional to 664,012,829.70, 996,019,244.55 and 388,513,815.30

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Solution

The fourth proportional to 664,012,829.70, 996,019,244.55 and 388,513,815.30 is: 582,770,722.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,012,829.70 : 996,019,244.55 = 388,513,815.30 : x
  2. Step 2: Convert to fraction form
    664,012,829.70/996,019,244.55 = 388,513,815.30/x
  3. Step 3: Cross multiply
    664,012,829.70x = 996,019,244.55 × 388,513,815.30
  4. Step 4: Simplify right side
    664,012,829.70x = 386,967,236,812,344,256
  5. Step 5: Solve for x
    x = 386,967,236,812,344,256/664,012,829.70
  6. Step 6: Final answer
    x = 582,770,722.95

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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.