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Finding the Fourth Proportional to 403,847.40, 557,321.08 and 222,571

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Solution

The fourth proportional to 403,847.40, 557,321.08 and 222,571 is: 307,154.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,847.40 : 557,321.08 = 222,571 : x
  2. Step 2: Convert to fraction form
    403,847.40/557,321.08 = 222,571/x
  3. Step 3: Cross multiply
    403,847.40x = 557,321.08 × 222,571
  4. Step 4: Simplify right side
    403,847.40x = 124,043,510,096.68
  5. Step 5: Solve for x
    x = 124,043,510,096.68/403,847.40
  6. Step 6: Final answer
    x = 307,154.41

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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.