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Finding the Fourth Proportional to 270,542.34, 405,880.29 and 83,553.84

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Solution

The fourth proportional to 270,542.34, 405,880.29 and 83,553.84 is: 125,351.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,542.34 : 405,880.29 = 83,553.84 : x
  2. Step 2: Convert to fraction form
    270,542.34/405,880.29 = 83,553.84/x
  3. Step 3: Cross multiply
    270,542.34x = 405,880.29 × 83,553.84
  4. Step 4: Simplify right side
    270,542.34x = 33,912,856,809.81
  5. Step 5: Solve for x
    x = 33,912,856,809.81/270,542.34
  6. Step 6: Final answer
    x = 125,351.38

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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.