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Finding the Fourth Proportional to 820,079.17, 1,229,978.54 and 220,900.20

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Solution

The fourth proportional to 820,079.17, 1,229,978.54 and 220,900.20 is: 331,312.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,079.17 : 1,229,978.54 = 220,900.20 : x
  2. Step 2: Convert to fraction form
    820,079.17/1,229,978.54 = 220,900.20/x
  3. Step 3: Cross multiply
    820,079.17x = 1,229,978.54 × 220,900.20
  4. Step 4: Simplify right side
    820,079.17x = 271,702,505,481.71
  5. Step 5: Solve for x
    x = 271,702,505,481.71/820,079.17
  6. Step 6: Final answer
    x = 331,312.53

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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.