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Finding the Fourth Proportional to 384,770.25, 530,982.95 and 215,020.17

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Solution

The fourth proportional to 384,770.25, 530,982.95 and 215,020.17 is: 296,727.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,770.25 : 530,982.95 = 215,020.17 : x
  2. Step 2: Convert to fraction form
    384,770.25/530,982.95 = 215,020.17/x
  3. Step 3: Cross multiply
    384,770.25x = 530,982.95 × 215,020.17
  4. Step 4: Simplify right side
    384,770.25x = 114,172,043,101.00
  5. Step 5: Solve for x
    x = 114,172,043,101.00/384,770.25
  6. Step 6: Final answer
    x = 296,727.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.