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Finding the Fourth Proportional to 408,010.96, 611,781 and 158,401.36

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Solution

The fourth proportional to 408,010.96, 611,781 and 158,401.36 is: 237,510.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,010.96 : 611,781 = 158,401.36 : x
  2. Step 2: Convert to fraction form
    408,010.96/611,781 = 158,401.36/x
  3. Step 3: Cross multiply
    408,010.96x = 611,781 × 158,401.36
  4. Step 4: Simplify right side
    408,010.96x = 96,906,942,422.16
  5. Step 5: Solve for x
    x = 96,906,942,422.16/408,010.96
  6. Step 6: Final answer
    x = 237,510.64

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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.