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Finding the Fourth Proportional to 253,585.69, 349,948.25 and 140,408.44

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Solution

The fourth proportional to 253,585.69, 349,948.25 and 140,408.44 is: 193,763.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,585.69 : 349,948.25 = 140,408.44 : x
  2. Step 2: Convert to fraction form
    253,585.69/349,948.25 = 140,408.44/x
  3. Step 3: Cross multiply
    253,585.69x = 349,948.25 × 140,408.44
  4. Step 4: Simplify right side
    253,585.69x = 49,135,686,812.85
  5. Step 5: Solve for x
    x = 49,135,686,812.85/253,585.69
  6. Step 6: Final answer
    x = 193,763.64

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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.