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Finding the Fourth Proportional to 442,756.48, 664,132.44 and 172,912

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Solution

The fourth proportional to 442,756.48, 664,132.44 and 172,912 is: 259,367.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,756.48 : 664,132.44 = 172,912 : x
  2. Step 2: Convert to fraction form
    442,756.48/664,132.44 = 172,912/x
  3. Step 3: Cross multiply
    442,756.48x = 664,132.44 × 172,912
  4. Step 4: Simplify right side
    442,756.48x = 114,836,468,465.28
  5. Step 5: Solve for x
    x = 114,836,468,465.28/442,756.48
  6. Step 6: Final answer
    x = 259,367.11

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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.