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Finding the Fourth Proportional to 568,393,882.20, 784,451,615.58 and 345,411,998.64

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Solution

The fourth proportional to 568,393,882.20, 784,451,615.58 and 345,411,998.64 is: 476,709,916.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,393,882.20 : 784,451,615.58 = 345,411,998.64 : x
  2. Step 2: Convert to fraction form
    568,393,882.20/784,451,615.58 = 345,411,998.64/x
  3. Step 3: Cross multiply
    568,393,882.20x = 784,451,615.58 × 345,411,998.64
  4. Step 4: Simplify right side
    568,393,882.20x = 270,959,000,373,864,768
  5. Step 5: Solve for x
    x = 270,959,000,373,864,768/568,393,882.20
  6. Step 6: Final answer
    x = 476,709,916.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.