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Finding the Fourth Proportional to 523,806, 722,852.28 and 285,342

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Solution

The fourth proportional to 523,806, 722,852.28 and 285,342 is: 393,771.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,806 : 722,852.28 = 285,342 : x
  2. Step 2: Convert to fraction form
    523,806/722,852.28 = 285,342/x
  3. Step 3: Cross multiply
    523,806x = 722,852.28 × 285,342
  4. Step 4: Simplify right side
    523,806x = 206,260,115,279.76
  5. Step 5: Solve for x
    x = 206,260,115,279.76/523,806
  6. Step 6: Final answer
    x = 393,771.96

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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.