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Finding the Fourth Proportional to 403,803.70, 557,273.49 and 222,515.32

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Solution

The fourth proportional to 403,803.70, 557,273.49 and 222,515.32 is: 307,084.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,803.70 : 557,273.49 = 222,515.32 : x
  2. Step 2: Convert to fraction form
    403,803.70/557,273.49 = 222,515.32/x
  3. Step 3: Cross multiply
    403,803.70x = 557,273.49 × 222,515.32
  4. Step 4: Simplify right side
    403,803.70x = 124,001,888,396.12
  5. Step 5: Solve for x
    x = 124,001,888,396.12/403,803.70
  6. Step 6: Final answer
    x = 307,084.58

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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.