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Finding the Fourth Proportional to 275,427.20, 413,140.80 and 273,677.60

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Solution

The fourth proportional to 275,427.20, 413,140.80 and 273,677.60 is: 410,516.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,427.20 : 413,140.80 = 273,677.60 : x
  2. Step 2: Convert to fraction form
    275,427.20/413,140.80 = 273,677.60/x
  3. Step 3: Cross multiply
    275,427.20x = 413,140.80 × 273,677.60
  4. Step 4: Simplify right side
    275,427.20x = 113,067,382,606.08
  5. Step 5: Solve for x
    x = 113,067,382,606.08/275,427.20
  6. Step 6: Final answer
    x = 410,516.40

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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.