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Finding the Fourth Proportional to 666,963.78, 920,410.50 and 361,039.20

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Solution

The fourth proportional to 666,963.78, 920,410.50 and 361,039.20 is: 498,234.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,963.78 : 920,410.50 = 361,039.20 : x
  2. Step 2: Convert to fraction form
    666,963.78/920,410.50 = 361,039.20/x
  3. Step 3: Cross multiply
    666,963.78x = 920,410.50 × 361,039.20
  4. Step 4: Simplify right side
    666,963.78x = 332,304,270,591.60
  5. Step 5: Solve for x
    x = 332,304,270,591.60/666,963.78
  6. Step 6: Final answer
    x = 498,234.36

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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.