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Finding the Fourth Proportional to 403,918.52, 557,404.47 and 222,630.80

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Solution

The fourth proportional to 403,918.52, 557,404.47 and 222,630.80 is: 307,228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,918.52 : 557,404.47 = 222,630.80 : x
  2. Step 2: Convert to fraction form
    403,918.52/557,404.47 = 222,630.80/x
  3. Step 3: Cross multiply
    403,918.52x = 557,404.47 × 222,630.80
  4. Step 4: Simplify right side
    403,918.52x = 124,095,400,292.65
  5. Step 5: Solve for x
    x = 124,095,400,292.65/403,918.52
  6. Step 6: Final answer
    x = 307,228.80

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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.