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Finding the Fourth Proportional to 389,863.80, 584,990.10 and 221,513.40

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Solution

The fourth proportional to 389,863.80, 584,990.10 and 221,513.40 is: 332,380.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,863.80 : 584,990.10 = 221,513.40 : x
  2. Step 2: Convert to fraction form
    389,863.80/584,990.10 = 221,513.40/x
  3. Step 3: Cross multiply
    389,863.80x = 584,990.10 × 221,513.40
  4. Step 4: Simplify right side
    389,863.80x = 129,583,146,017.34
  5. Step 5: Solve for x
    x = 129,583,146,017.34/389,863.80
  6. Step 6: Final answer
    x = 332,380.55

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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.