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Finding the Fourth Proportional to 262,593.92, 393,890.88 and 209,756

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Solution

The fourth proportional to 262,593.92, 393,890.88 and 209,756 is: 314,634

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,593.92 : 393,890.88 = 209,756 : x
  2. Step 2: Convert to fraction form
    262,593.92/393,890.88 = 209,756/x
  3. Step 3: Cross multiply
    262,593.92x = 393,890.88 × 209,756
  4. Step 4: Simplify right side
    262,593.92x = 82,620,975,425.28
  5. Step 5: Solve for x
    x = 82,620,975,425.28/262,593.92
  6. Step 6: Final answer
    x = 314,634

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.