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Finding the Fourth Proportional to 262,594.92, 393,892.38 and 209,757

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Solution

The fourth proportional to 262,594.92, 393,892.38 and 209,757 is: 314,635.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,594.92 : 393,892.38 = 209,757 : x
  2. Step 2: Convert to fraction form
    262,594.92/393,892.38 = 209,757/x
  3. Step 3: Cross multiply
    262,594.92x = 393,892.38 × 209,757
  4. Step 4: Simplify right side
    262,594.92x = 82,621,683,951.66
  5. Step 5: Solve for x
    x = 82,621,683,951.66/262,594.92
  6. Step 6: Final answer
    x = 314,635.50

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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.