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Finding the Fourth Proportional to 523,848, 722,910.24 and 285,384

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Solution

The fourth proportional to 523,848, 722,910.24 and 285,384 is: 393,829.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,848 : 722,910.24 = 285,384 : x
  2. Step 2: Convert to fraction form
    523,848/722,910.24 = 285,384/x
  3. Step 3: Cross multiply
    523,848x = 722,910.24 × 285,384
  4. Step 4: Simplify right side
    523,848x = 206,307,015,932.16
  5. Step 5: Solve for x
    x = 206,307,015,932.16/523,848
  6. Step 6: Final answer
    x = 393,829.92

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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.