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Finding the Fourth Proportional to 262,326, 393,492.51 and 82,405.56

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Solution

The fourth proportional to 262,326, 393,492.51 and 82,405.56 is: 123,609.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,326 : 393,492.51 = 82,405.56 : x
  2. Step 2: Convert to fraction form
    262,326/393,492.51 = 82,405.56/x
  3. Step 3: Cross multiply
    262,326x = 393,492.51 × 82,405.56
  4. Step 4: Simplify right side
    262,326x = 32,425,970,642.36
  5. Step 5: Solve for x
    x = 32,425,970,642.36/262,326
  6. Step 6: Final answer
    x = 123,609.44

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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.