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Finding the Fourth Proportional to 484,519.14, 727,961.31 and 457,662.78

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Solution

The fourth proportional to 484,519.14, 727,961.31 and 457,662.78 is: 687,611.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,519.14 : 727,961.31 = 457,662.78 : x
  2. Step 2: Convert to fraction form
    484,519.14/727,961.31 = 457,662.78/x
  3. Step 3: Cross multiply
    484,519.14x = 727,961.31 × 457,662.78
  4. Step 4: Simplify right side
    484,519.14x = 333,160,796,867.04
  5. Step 5: Solve for x
    x = 333,160,796,867.04/484,519.14
  6. Step 6: Final answer
    x = 687,611.22

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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.