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Finding the Fourth Proportional to 429,638.44, 644,578.30 and 126,039.76

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Solution

The fourth proportional to 429,638.44, 644,578.30 and 126,039.76 is: 189,095.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,638.44 : 644,578.30 = 126,039.76 : x
  2. Step 2: Convert to fraction form
    429,638.44/644,578.30 = 126,039.76/x
  3. Step 3: Cross multiply
    429,638.44x = 644,578.30 × 126,039.76
  4. Step 4: Simplify right side
    429,638.44x = 81,242,493,075.88
  5. Step 5: Solve for x
    x = 81,242,493,075.88/429,638.44
  6. Step 6: Final answer
    x = 189,095.03

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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.