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Finding the Fourth Proportional to 205,422.20, 308,133.30 and 180,927.80

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Solution

The fourth proportional to 205,422.20, 308,133.30 and 180,927.80 is: 271,391.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,422.20 : 308,133.30 = 180,927.80 : x
  2. Step 2: Convert to fraction form
    205,422.20/308,133.30 = 180,927.80/x
  3. Step 3: Cross multiply
    205,422.20x = 308,133.30 × 180,927.80
  4. Step 4: Simplify right side
    205,422.20x = 55,749,880,075.74
  5. Step 5: Solve for x
    x = 55,749,880,075.74/205,422.20
  6. Step 6: Final answer
    x = 271,391.70

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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.