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Finding the Fourth Proportional to 442,031.77, 663,243.68 and 231,619.69

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Solution

The fourth proportional to 442,031.77, 663,243.68 and 231,619.69 is: 347,532.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,031.77 : 663,243.68 = 231,619.69 : x
  2. Step 2: Convert to fraction form
    442,031.77/663,243.68 = 231,619.69/x
  3. Step 3: Cross multiply
    442,031.77x = 663,243.68 × 231,619.69
  4. Step 4: Simplify right side
    442,031.77x = 153,620,295,556.06
  5. Step 5: Solve for x
    x = 153,620,295,556.06/442,031.77
  6. Step 6: Final answer
    x = 347,532.25

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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.