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Finding the Fourth Proportional to 465,380.88, 642,285 and 284,054.01

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Solution

The fourth proportional to 465,380.88, 642,285 and 284,054.01 is: 392,030.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,380.88 : 642,285 = 284,054.01 : x
  2. Step 2: Convert to fraction form
    465,380.88/642,285 = 284,054.01/x
  3. Step 3: Cross multiply
    465,380.88x = 642,285 × 284,054.01
  4. Step 4: Simplify right side
    465,380.88x = 182,443,629,812.85
  5. Step 5: Solve for x
    x = 182,443,629,812.85/465,380.88
  6. Step 6: Final answer
    x = 392,030.78

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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.