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Finding the Fourth Proportional to 512,963.40, 768,278.70 and 324,006.60

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Solution

The fourth proportional to 512,963.40, 768,278.70 and 324,006.60 is: 485,273.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,963.40 : 768,278.70 = 324,006.60 : x
  2. Step 2: Convert to fraction form
    512,963.40/768,278.70 = 324,006.60/x
  3. Step 3: Cross multiply
    512,963.40x = 768,278.70 × 324,006.60
  4. Step 4: Simplify right side
    512,963.40x = 248,927,369,439.42
  5. Step 5: Solve for x
    x = 248,927,369,439.42/512,963.40
  6. Step 6: Final answer
    x = 485,273.16

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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.