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Finding the Fourth Proportional to 523,958.86, 723,063.24 and 285,494.86

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Solution

The fourth proportional to 523,958.86, 723,063.24 and 285,494.86 is: 393,982.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,958.86 : 723,063.24 = 285,494.86 : x
  2. Step 2: Convert to fraction form
    523,958.86/723,063.24 = 285,494.86/x
  3. Step 3: Cross multiply
    523,958.86x = 723,063.24 × 285,494.86
  4. Step 4: Simplify right side
    523,958.86x = 206,430,838,474.95
  5. Step 5: Solve for x
    x = 206,430,838,474.95/523,958.86
  6. Step 6: Final answer
    x = 393,982.91

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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.