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Finding the Fourth Proportional to 382,377.30, 573,576.84 and 129,658.50

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Solution

The fourth proportional to 382,377.30, 573,576.84 and 129,658.50 is: 194,491.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,377.30 : 573,576.84 = 129,658.50 : x
  2. Step 2: Convert to fraction form
    382,377.30/573,576.84 = 129,658.50/x
  3. Step 3: Cross multiply
    382,377.30x = 573,576.84 × 129,658.50
  4. Step 4: Simplify right side
    382,377.30x = 74,369,112,709.14
  5. Step 5: Solve for x
    x = 74,369,112,709.14/382,377.30
  6. Step 6: Final answer
    x = 194,491.44

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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.