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Finding the Fourth Proportional to 429,712.88, 644,511 and 126,098.96

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Solution

The fourth proportional to 429,712.88, 644,511 and 126,098.96 is: 189,131.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,712.88 : 644,511 = 126,098.96 : x
  2. Step 2: Convert to fraction form
    429,712.88/644,511 = 126,098.96/x
  3. Step 3: Cross multiply
    429,712.88x = 644,511 × 126,098.96
  4. Step 4: Simplify right side
    429,712.88x = 81,272,166,808.56
  5. Step 5: Solve for x
    x = 81,272,166,808.56/429,712.88
  6. Step 6: Final answer
    x = 189,131.33

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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.