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Finding the Fourth Proportional to 429,777.96, 643,781 and 251,745.24

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Solution

The fourth proportional to 429,777.96, 643,781 and 251,745.24 is: 377,098.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,777.96 : 643,781 = 251,745.24 : x
  2. Step 2: Convert to fraction form
    429,777.96/643,781 = 251,745.24/x
  3. Step 3: Cross multiply
    429,777.96x = 643,781 × 251,745.24
  4. Step 4: Simplify right side
    429,777.96x = 162,068,802,352.44
  5. Step 5: Solve for x
    x = 162,068,802,352.44/429,777.96
  6. Step 6: Final answer
    x = 377,098.91

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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.