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Finding the Fourth Proportional to 523,744.66, 722,747.29 and 320,136.49

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Solution

The fourth proportional to 523,744.66, 722,747.29 and 320,136.49 is: 441,775.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,744.66 : 722,747.29 = 320,136.49 : x
  2. Step 2: Convert to fraction form
    523,744.66/722,747.29 = 320,136.49/x
  3. Step 3: Cross multiply
    523,744.66x = 722,747.29 × 320,136.49
  4. Step 4: Simplify right side
    523,744.66x = 231,377,775,363.19
  5. Step 5: Solve for x
    x = 231,377,775,363.19/523,744.66
  6. Step 6: Final answer
    x = 441,775.92

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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.