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Finding the Fourth Proportional to 275,436.79, 413,090.53 and 133,211.72

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Solution

The fourth proportional to 275,436.79, 413,090.53 and 133,211.72 is: 199,786.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,436.79 : 413,090.53 = 133,211.72 : x
  2. Step 2: Convert to fraction form
    275,436.79/413,090.53 = 133,211.72/x
  3. Step 3: Cross multiply
    275,436.79x = 413,090.53 × 133,211.72
  4. Step 4: Simplify right side
    275,436.79x = 55,028,500,017.01
  5. Step 5: Solve for x
    x = 55,028,500,017.01/275,436.79
  6. Step 6: Final answer
    x = 199,786.31

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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.