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Finding the Fourth Proportional to 389,575.30, 584,472.30 and 189,902.20

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Solution

The fourth proportional to 389,575.30, 584,472.30 and 189,902.20 is: 284,906.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,575.30 : 584,472.30 = 189,902.20 : x
  2. Step 2: Convert to fraction form
    389,575.30/584,472.30 = 189,902.20/x
  3. Step 3: Cross multiply
    389,575.30x = 584,472.30 × 189,902.20
  4. Step 4: Simplify right side
    389,575.30x = 110,992,575,609.06
  5. Step 5: Solve for x
    x = 110,992,575,609.06/389,575.30
  6. Step 6: Final answer
    x = 284,906.60

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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.