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Finding the Fourth Proportional to 484,519.02, 727,961.12 and 457,662.66

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Solution

The fourth proportional to 484,519.02, 727,961.12 and 457,662.66 is: 687,611.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,519.02 : 727,961.12 = 457,662.66 : x
  2. Step 2: Convert to fraction form
    484,519.02/727,961.12 = 457,662.66/x
  3. Step 3: Cross multiply
    484,519.02x = 727,961.12 × 457,662.66
  4. Step 4: Simplify right side
    484,519.02x = 333,160,620,060.13
  5. Step 5: Solve for x
    x = 333,160,620,060.13/484,519.02
  6. Step 6: Final answer
    x = 687,611.03

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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.