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Finding the Fourth Proportional to 275,409.96, 413,067.36 and 73,007.40

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Solution

The fourth proportional to 275,409.96, 413,067.36 and 73,007.40 is: 109,498.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,409.96 : 413,067.36 = 73,007.40 : x
  2. Step 2: Convert to fraction form
    275,409.96/413,067.36 = 73,007.40/x
  3. Step 3: Cross multiply
    275,409.96x = 413,067.36 × 73,007.40
  4. Step 4: Simplify right side
    275,409.96x = 30,156,973,793.51
  5. Step 5: Solve for x
    x = 30,156,973,793.51/275,409.96
  6. Step 6: Final answer
    x = 109,498.49

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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.