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Finding the Fourth Proportional to 523,990, 723,106.20 and 285,526

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Solution

The fourth proportional to 523,990, 723,106.20 and 285,526 is: 394,025.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,990 : 723,106.20 = 285,526 : x
  2. Step 2: Convert to fraction form
    523,990/723,106.20 = 285,526/x
  3. Step 3: Cross multiply
    523,990x = 723,106.20 × 285,526
  4. Step 4: Simplify right side
    523,990x = 206,465,620,861.20
  5. Step 5: Solve for x
    x = 206,465,620,861.20/523,990
  6. Step 6: Final answer
    x = 394,025.88

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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.