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Finding the Fourth Proportional to 270,189.34, 405,283.43 and 253,747.87

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Solution

The fourth proportional to 270,189.34, 405,283.43 and 253,747.87 is: 380,621.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,189.34 : 405,283.43 = 253,747.87 : x
  2. Step 2: Convert to fraction form
    270,189.34/405,283.43 = 253,747.87/x
  3. Step 3: Cross multiply
    270,189.34x = 405,283.43 × 253,747.87
  4. Step 4: Simplify right side
    270,189.34x = 102,839,806,729.96
  5. Step 5: Solve for x
    x = 102,839,806,729.96/270,189.34
  6. Step 6: Final answer
    x = 380,621.26

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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.