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Finding the Fourth Proportional to 329,035.40, 493,682.70 and 129,321.80

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Solution

The fourth proportional to 329,035.40, 493,682.70 and 129,321.80 is: 194,033.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,035.40 : 493,682.70 = 129,321.80 : x
  2. Step 2: Convert to fraction form
    329,035.40/493,682.70 = 129,321.80/x
  3. Step 3: Cross multiply
    329,035.40x = 493,682.70 × 129,321.80
  4. Step 4: Simplify right side
    329,035.40x = 63,843,935,392.86
  5. Step 5: Solve for x
    x = 63,843,935,392.86/329,035.40
  6. Step 6: Final answer
    x = 194,033.64

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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.