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Finding the Fourth Proportional to 413,717.70, 620,576.55 and 384,193.20

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Solution

The fourth proportional to 413,717.70, 620,576.55 and 384,193.20 is: 576,289.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,717.70 : 620,576.55 = 384,193.20 : x
  2. Step 2: Convert to fraction form
    413,717.70/620,576.55 = 384,193.20/x
  3. Step 3: Cross multiply
    413,717.70x = 620,576.55 × 384,193.20
  4. Step 4: Simplify right side
    413,717.70x = 238,421,290,589.46
  5. Step 5: Solve for x
    x = 238,421,290,589.46/413,717.70
  6. Step 6: Final answer
    x = 576,289.80

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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.