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Finding the Fourth Proportional to 578,462,958.92, 798,394,748.82 and 343,644,069.08

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Solution

The fourth proportional to 578,462,958.92, 798,394,748.82 and 343,644,069.08 is: 474,297,646.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,462,958.92 : 798,394,748.82 = 343,644,069.08 : x
  2. Step 2: Convert to fraction form
    578,462,958.92/798,394,748.82 = 343,644,069.08/x
  3. Step 3: Cross multiply
    578,462,958.92x = 798,394,748.82 × 343,644,069.08
  4. Step 4: Simplify right side
    578,462,958.92x = 274,363,620,216,609,344
  5. Step 5: Solve for x
    x = 274,363,620,216,609,344/578,462,958.92
  6. Step 6: Final answer
    x = 474,297,646.87

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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.