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Finding the Fourth Proportional to 329,141.68, 493,668.78 and 129,408.44

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Solution

The fourth proportional to 329,141.68, 493,668.78 and 129,408.44 is: 194,095.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,141.68 : 493,668.78 = 129,408.44 : x
  2. Step 2: Convert to fraction form
    329,141.68/493,668.78 = 129,408.44/x
  3. Step 3: Cross multiply
    329,141.68x = 493,668.78 × 129,408.44
  4. Step 4: Simplify right side
    329,141.68x = 63,884,903,742.88
  5. Step 5: Solve for x
    x = 63,884,903,742.88/329,141.68
  6. Step 6: Final answer
    x = 194,095.46

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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.