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Finding the Fourth Proportional to 465,781.60, 642,846.54 and 261,849.34

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Solution

The fourth proportional to 465,781.60, 642,846.54 and 261,849.34 is: 361,390.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,781.60 : 642,846.54 = 261,849.34 : x
  2. Step 2: Convert to fraction form
    465,781.60/642,846.54 = 261,849.34/x
  3. Step 3: Cross multiply
    465,781.60x = 642,846.54 × 261,849.34
  4. Step 4: Simplify right side
    465,781.60x = 168,328,942,220.28
  5. Step 5: Solve for x
    x = 168,328,942,220.28/465,781.60
  6. Step 6: Final answer
    x = 361,390.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.