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Finding the Fourth Proportional to 442,682.88, 664,022.88 and 265,243.20

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Solution

The fourth proportional to 442,682.88, 664,022.88 and 265,243.20 is: 397,863.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,682.88 : 664,022.88 = 265,243.20 : x
  2. Step 2: Convert to fraction form
    442,682.88/664,022.88 = 265,243.20/x
  3. Step 3: Cross multiply
    442,682.88x = 664,022.88 × 265,243.20
  4. Step 4: Simplify right side
    442,682.88x = 176,127,553,564.42
  5. Step 5: Solve for x
    x = 176,127,553,564.42/442,682.88
  6. Step 6: Final answer
    x = 397,863.94

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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.