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Finding the Fourth Proportional to 420,808.40, 580,719.31 and 239,532

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Solution

The fourth proportional to 420,808.40, 580,719.31 and 239,532 is: 330,556.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,808.40 : 580,719.31 = 239,532 : x
  2. Step 2: Convert to fraction form
    420,808.40/580,719.31 = 239,532/x
  3. Step 3: Cross multiply
    420,808.40x = 580,719.31 × 239,532
  4. Step 4: Simplify right side
    420,808.40x = 139,100,857,762.92
  5. Step 5: Solve for x
    x = 139,100,857,762.92/420,808.40
  6. Step 6: Final answer
    x = 330,556.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.