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Finding the Fourth Proportional to 382,969,345.80, 574,454,018.70 and 376,922,728.20

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Solution

The fourth proportional to 382,969,345.80, 574,454,018.70 and 376,922,728.20 is: 565,384,092.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,969,345.80 : 574,454,018.70 = 376,922,728.20 : x
  2. Step 2: Convert to fraction form
    382,969,345.80/574,454,018.70 = 376,922,728.20/x
  3. Step 3: Cross multiply
    382,969,345.80x = 574,454,018.70 × 376,922,728.20
  4. Step 4: Simplify right side
    382,969,345.80x = 216,524,775,953,857,824
  5. Step 5: Solve for x
    x = 216,524,775,953,857,824/382,969,345.80
  6. Step 6: Final answer
    x = 565,384,092.30

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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.