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Finding the Fourth Proportional to 523,627, 722,605.26 and 285,163

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Solution

The fourth proportional to 523,627, 722,605.26 and 285,163 is: 393,524.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,627 : 722,605.26 = 285,163 : x
  2. Step 2: Convert to fraction form
    523,627/722,605.26 = 285,163/x
  3. Step 3: Cross multiply
    523,627x = 722,605.26 × 285,163
  4. Step 4: Simplify right side
    523,627x = 206,060,283,757.38
  5. Step 5: Solve for x
    x = 206,060,283,757.38/523,627
  6. Step 6: Final answer
    x = 393,524.94

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1.5x scale

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.