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Finding the Fourth Proportional to 389,644.20, 584,462.25 and 123,404.69

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Solution

The fourth proportional to 389,644.20, 584,462.25 and 123,404.69 is: 185,105.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,644.20 : 584,462.25 = 123,404.69 : x
  2. Step 2: Convert to fraction form
    389,644.20/584,462.25 = 123,404.69/x
  3. Step 3: Cross multiply
    389,644.20x = 584,462.25 × 123,404.69
  4. Step 4: Simplify right side
    389,644.20x = 72,125,379,855.64
  5. Step 5: Solve for x
    x = 72,125,379,855.64/389,644.20
  6. Step 6: Final answer
    x = 185,105.74

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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.