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Finding the Fourth Proportional to 205,310.70, 307,706.85 and 181,982.70

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Solution

The fourth proportional to 205,310.70, 307,706.85 and 181,982.70 is: 272,744.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,310.70 : 307,706.85 = 181,982.70 : x
  2. Step 2: Convert to fraction form
    205,310.70/307,706.85 = 181,982.70/x
  3. Step 3: Cross multiply
    205,310.70x = 307,706.85 × 181,982.70
  4. Step 4: Simplify right side
    205,310.70x = 55,997,323,371.50
  5. Step 5: Solve for x
    x = 55,997,323,371.50/205,310.70
  6. Step 6: Final answer
    x = 272,744.30

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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.