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Finding the Fourth Proportional to 389,766.40, 584,649.60 and 221,221.60

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Solution

The fourth proportional to 389,766.40, 584,649.60 and 221,221.60 is: 331,832.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,766.40 : 584,649.60 = 221,221.60 : x
  2. Step 2: Convert to fraction form
    389,766.40/584,649.60 = 221,221.60/x
  3. Step 3: Cross multiply
    389,766.40x = 584,649.60 × 221,221.60
  4. Step 4: Simplify right side
    389,766.40x = 129,337,119,951.36
  5. Step 5: Solve for x
    x = 129,337,119,951.36/389,766.40
  6. Step 6: Final answer
    x = 331,832.40

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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.