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Finding the Fourth Proportional to 429,632.88, 644,745.17 and 149,150.13

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Solution

The fourth proportional to 429,632.88, 644,745.17 and 149,150.13 is: 223,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,632.88 : 644,745.17 = 149,150.13 : x
  2. Step 2: Convert to fraction form
    429,632.88/644,745.17 = 149,150.13/x
  3. Step 3: Cross multiply
    429,632.88x = 644,745.17 × 149,150.13
  4. Step 4: Simplify right side
    429,632.88x = 96,163,825,922.37
  5. Step 5: Solve for x
    x = 96,163,825,922.37/429,632.88
  6. Step 6: Final answer
    x = 223,827.90

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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.