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Finding the Fourth Proportional to 253,398.52, 349,692.44 and 140,221

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Solution

The fourth proportional to 253,398.52, 349,692.44 and 140,221 is: 193,506.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,398.52 : 349,692.44 = 140,221 : x
  2. Step 2: Convert to fraction form
    253,398.52/349,692.44 = 140,221/x
  3. Step 3: Cross multiply
    253,398.52x = 349,692.44 × 140,221
  4. Step 4: Simplify right side
    253,398.52x = 49,034,223,629.24
  5. Step 5: Solve for x
    x = 49,034,223,629.24/253,398.52
  6. Step 6: Final answer
    x = 193,506.35

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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.