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Finding the Fourth Proportional to 403,985.44, 557,474.84 and 222,688

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Solution

The fourth proportional to 403,985.44, 557,474.84 and 222,688 is: 307,295.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,985.44 : 557,474.84 = 222,688 : x
  2. Step 2: Convert to fraction form
    403,985.44/557,474.84 = 222,688/x
  3. Step 3: Cross multiply
    403,985.44x = 557,474.84 × 222,688
  4. Step 4: Simplify right side
    403,985.44x = 124,142,957,169.92
  5. Step 5: Solve for x
    x = 124,142,957,169.92/403,985.44
  6. Step 6: Final answer
    x = 307,295.62

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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.