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Finding the Fourth Proportional to 253,466.57, 349,772.87 and 140,282.57

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Solution

The fourth proportional to 253,466.57, 349,772.87 and 140,282.57 is: 193,583.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,466.57 : 349,772.87 = 140,282.57 : x
  2. Step 2: Convert to fraction form
    253,466.57/349,772.87 = 140,282.57/x
  3. Step 3: Cross multiply
    253,466.57x = 349,772.87 × 140,282.57
  4. Step 4: Simplify right side
    253,466.57x = 49,067,036,418.46
  5. Step 5: Solve for x
    x = 49,067,036,418.46/253,466.57
  6. Step 6: Final answer
    x = 193,583.86

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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.