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Finding the Fourth Proportional to 349,212.48, 523,380.49 and 149,297.91

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Solution

The fourth proportional to 349,212.48, 523,380.49 and 149,297.91 is: 223,759.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,212.48 : 523,380.49 = 149,297.91 : x
  2. Step 2: Convert to fraction form
    349,212.48/523,380.49 = 149,297.91/x
  3. Step 3: Cross multiply
    349,212.48x = 523,380.49 × 149,297.91
  4. Step 4: Simplify right side
    349,212.48x = 78,139,613,291.78
  5. Step 5: Solve for x
    x = 78,139,613,291.78/349,212.48
  6. Step 6: Final answer
    x = 223,759.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.