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Finding the Fourth Proportional to 329,530.86, 493,956.89 and 129,770.28

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Solution

The fourth proportional to 329,530.86, 493,956.89 and 129,770.28 is: 194,521.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,530.86 : 493,956.89 = 129,770.28 : x
  2. Step 2: Convert to fraction form
    329,530.86/493,956.89 = 129,770.28/x
  3. Step 3: Cross multiply
    329,530.86x = 493,956.89 × 129,770.28
  4. Step 4: Simplify right side
    329,530.86x = 64,100,921,777.87
  5. Step 5: Solve for x
    x = 64,100,921,777.87/329,530.86
  6. Step 6: Final answer
    x = 194,521.76

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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.