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Finding the Fourth Proportional to 872,942,843.76, 1,309,992,590.66 and 479,744,262.42

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Solution

The fourth proportional to 872,942,843.76, 1,309,992,590.66 and 479,744,262.42 is: 719,934,224.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,942,843.76 : 1,309,992,590.66 = 479,744,262.42 : x
  2. Step 2: Convert to fraction form
    872,942,843.76/1,309,992,590.66 = 479,744,262.42/x
  3. Step 3: Cross multiply
    872,942,843.76x = 1,309,992,590.66 × 479,744,262.42
  4. Step 4: Simplify right side
    872,942,843.76x = 628,461,429,181,846,784
  5. Step 5: Solve for x
    x = 628,461,429,181,846,784/872,942,843.76
  6. Step 6: Final answer
    x = 719,934,224.42

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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.