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Finding the Fourth Proportional to 389,600.62, 584,760.13 and 197,609.80

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Solution

The fourth proportional to 389,600.62, 584,760.13 and 197,609.80 is: 296,596.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,600.62 : 584,760.13 = 197,609.80 : x
  2. Step 2: Convert to fraction form
    389,600.62/584,760.13 = 197,609.80/x
  3. Step 3: Cross multiply
    389,600.62x = 584,760.13 × 197,609.80
  4. Step 4: Simplify right side
    389,600.62x = 115,554,332,337.27
  5. Step 5: Solve for x
    x = 115,554,332,337.27/389,600.62
  6. Step 6: Final answer
    x = 296,596.89

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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.