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Finding the Fourth Proportional to 389,711.60, 584,243.40 and 165,244.40

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Solution

The fourth proportional to 389,711.60, 584,243.40 and 165,244.40 is: 247,729.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,711.60 : 584,243.40 = 165,244.40 : x
  2. Step 2: Convert to fraction form
    389,711.60/584,243.40 = 165,244.40/x
  3. Step 3: Cross multiply
    389,711.60x = 584,243.40 × 165,244.40
  4. Step 4: Simplify right side
    389,711.60x = 96,542,950,086.96
  5. Step 5: Solve for x
    x = 96,542,950,086.96/389,711.60
  6. Step 6: Final answer
    x = 247,729.22

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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.