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Finding the Fourth Proportional to 205,424.70, 308,137.05 and 180,930.30

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Solution

The fourth proportional to 205,424.70, 308,137.05 and 180,930.30 is: 271,395.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,424.70 : 308,137.05 = 180,930.30 : x
  2. Step 2: Convert to fraction form
    205,424.70/308,137.05 = 180,930.30/x
  3. Step 3: Cross multiply
    205,424.70x = 308,137.05 × 180,930.30
  4. Step 4: Simplify right side
    205,424.70x = 55,751,328,897.62
  5. Step 5: Solve for x
    x = 55,751,328,897.62/205,424.70
  6. Step 6: Final answer
    x = 271,395.45

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1.5x scale

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.