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Finding the Fourth Proportional to 483,684, 725,542.24 and 217,445.28

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Solution

The fourth proportional to 483,684, 725,542.24 and 217,445.28 is: 326,175.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,684 : 725,542.24 = 217,445.28 : x
  2. Step 2: Convert to fraction form
    483,684/725,542.24 = 217,445.28/x
  3. Step 3: Cross multiply
    483,684x = 725,542.24 × 217,445.28
  4. Step 4: Simplify right side
    483,684x = 157,765,735,528.63
  5. Step 5: Solve for x
    x = 157,765,735,528.63/483,684
  6. Step 6: Final answer
    x = 326,175.22

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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.