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Finding the Fourth Proportional to 262,678.71, 393,775.75 and 102,863.48

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Solution

The fourth proportional to 262,678.71, 393,775.75 and 102,863.48 is: 154,200.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,678.71 : 393,775.75 = 102,863.48 : x
  2. Step 2: Convert to fraction form
    262,678.71/393,775.75 = 102,863.48/x
  3. Step 3: Cross multiply
    262,678.71x = 393,775.75 × 102,863.48
  4. Step 4: Simplify right side
    262,678.71x = 40,505,143,470.29
  5. Step 5: Solve for x
    x = 40,505,143,470.29/262,678.71
  6. Step 6: Final answer
    x = 154,200.33

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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.