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Finding the Fourth Proportional to 523,786,636.65, 722,843,008.39 and 285,644,814.45

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Solution

The fourth proportional to 523,786,636.65, 722,843,008.39 and 285,644,814.45 is: 394,199,360.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,786,636.65 : 722,843,008.39 = 285,644,814.45 : x
  2. Step 2: Convert to fraction form
    523,786,636.65/722,843,008.39 = 285,644,814.45/x
  3. Step 3: Cross multiply
    523,786,636.65x = 722,843,008.39 × 285,644,814.45
  4. Step 4: Simplify right side
    523,786,636.65x = 206,476,357,006,613,120
  5. Step 5: Solve for x
    x = 206,476,357,006,613,120/523,786,636.65
  6. Step 6: Final answer
    x = 394,199,360.12

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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.