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Finding the Fourth Proportional to 403,981.44, 557,469.32 and 222,684

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Solution

The fourth proportional to 403,981.44, 557,469.32 and 222,684 is: 307,290.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,981.44 : 557,469.32 = 222,684 : x
  2. Step 2: Convert to fraction form
    403,981.44/557,469.32 = 222,684/x
  3. Step 3: Cross multiply
    403,981.44x = 557,469.32 × 222,684
  4. Step 4: Simplify right side
    403,981.44x = 124,139,496,941.46
  5. Step 5: Solve for x
    x = 124,139,496,941.46/403,981.44
  6. Step 6: Final answer
    x = 307,290.10

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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.