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Finding the Fourth Proportional to 429,711.88, 644,509.50 and 126,097.96

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Solution

The fourth proportional to 429,711.88, 644,509.50 and 126,097.96 is: 189,129.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,711.88 : 644,509.50 = 126,097.96 : x
  2. Step 2: Convert to fraction form
    429,711.88/644,509.50 = 126,097.96/x
  3. Step 3: Cross multiply
    429,711.88x = 644,509.50 × 126,097.96
  4. Step 4: Simplify right side
    429,711.88x = 81,271,333,150.62
  5. Step 5: Solve for x
    x = 81,271,333,150.62/429,711.88
  6. Step 6: Final answer
    x = 189,129.83

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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.