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Finding the Fourth Proportional to 490,009.20, 676,165.64 and 275,100

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Solution

The fourth proportional to 490,009.20, 676,165.64 and 275,100 is: 379,611.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,009.20 : 676,165.64 = 275,100 : x
  2. Step 2: Convert to fraction form
    490,009.20/676,165.64 = 275,100/x
  3. Step 3: Cross multiply
    490,009.20x = 676,165.64 × 275,100
  4. Step 4: Simplify right side
    490,009.20x = 186,013,166,188.50
  5. Step 5: Solve for x
    x = 186,013,166,188.50/490,009.20
  6. Step 6: Final answer
    x = 379,611.58

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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.