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Finding the Fourth Proportional to 262,324.60, 393,882.90 and 209,577.40

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Solution

The fourth proportional to 262,324.60, 393,882.90 and 209,577.40 is: 314,682.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,324.60 : 393,882.90 = 209,577.40 : x
  2. Step 2: Convert to fraction form
    262,324.60/393,882.90 = 209,577.40/x
  3. Step 3: Cross multiply
    262,324.60x = 393,882.90 × 209,577.40
  4. Step 4: Simplify right side
    262,324.60x = 82,548,954,086.46
  5. Step 5: Solve for x
    x = 82,548,954,086.46/262,324.60
  6. Step 6: Final answer
    x = 314,682.47

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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.