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Finding the Fourth Proportional to 523,914, 723,001.32 and 285,450

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Solution

The fourth proportional to 523,914, 723,001.32 and 285,450 is: 393,921

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,914 : 723,001.32 = 285,450 : x
  2. Step 2: Convert to fraction form
    523,914/723,001.32 = 285,450/x
  3. Step 3: Cross multiply
    523,914x = 723,001.32 × 285,450
  4. Step 4: Simplify right side
    523,914x = 206,380,726,794
  5. Step 5: Solve for x
    x = 206,380,726,794/523,914
  6. Step 6: Final answer
    x = 393,921

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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.