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Finding the Fourth Proportional to 764,663,760.68, 1,146,995,957.80 and 343,993,774

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Solution

The fourth proportional to 764,663,760.68, 1,146,995,957.80 and 343,993,774 is: 515,990,803.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,663,760.68 : 1,146,995,957.80 = 343,993,774 : x
  2. Step 2: Convert to fraction form
    764,663,760.68/1,146,995,957.80 = 343,993,774/x
  3. Step 3: Cross multiply
    764,663,760.68x = 1,146,995,957.80 × 343,993,774
  4. Step 4: Simplify right side
    764,663,760.68x = 394,559,468,286,366,720
  5. Step 5: Solve for x
    x = 394,559,468,286,366,720/764,663,760.68
  6. Step 6: Final answer
    x = 515,990,803.51

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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.