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Finding the Fourth Proportional to 429,647.72, 644,452.14 and 149,186.84

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Solution

The fourth proportional to 429,647.72, 644,452.14 and 149,186.84 is: 223,773.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,647.72 : 644,452.14 = 149,186.84 : x
  2. Step 2: Convert to fraction form
    429,647.72/644,452.14 = 149,186.84/x
  3. Step 3: Cross multiply
    429,647.72x = 644,452.14 × 149,186.84
  4. Step 4: Simplify right side
    429,647.72x = 96,143,778,297.84
  5. Step 5: Solve for x
    x = 96,143,778,297.84/429,647.72
  6. Step 6: Final answer
    x = 223,773.51

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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.