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Finding the Fourth Proportional to 484,196.80, 668,273.16 and 280,253.20

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Solution

The fourth proportional to 484,196.80, 668,273.16 and 280,253.20 is: 386,796.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,196.80 : 668,273.16 = 280,253.20 : x
  2. Step 2: Convert to fraction form
    484,196.80/668,273.16 = 280,253.20/x
  3. Step 3: Cross multiply
    484,196.80x = 668,273.16 × 280,253.20
  4. Step 4: Simplify right side
    484,196.80x = 187,285,691,564.11
  5. Step 5: Solve for x
    x = 187,285,691,564.11/484,196.80
  6. Step 6: Final answer
    x = 386,796.63

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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.