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Finding the Fourth Proportional to 445,984.50, 615,477.22 and 254,997.84

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Solution

The fourth proportional to 445,984.50, 615,477.22 and 254,997.84 is: 351,907.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,984.50 : 615,477.22 = 254,997.84 : x
  2. Step 2: Convert to fraction form
    445,984.50/615,477.22 = 254,997.84/x
  3. Step 3: Cross multiply
    445,984.50x = 615,477.22 × 254,997.84
  4. Step 4: Simplify right side
    445,984.50x = 156,945,361,669.21
  5. Step 5: Solve for x
    x = 156,945,361,669.21/445,984.50
  6. Step 6: Final answer
    x = 351,907.66

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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.