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Finding the Fourth Proportional to 206,721.20, 310,081.80 and 180,477.20

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Solution

The fourth proportional to 206,721.20, 310,081.80 and 180,477.20 is: 270,715.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,721.20 : 310,081.80 = 180,477.20 : x
  2. Step 2: Convert to fraction form
    206,721.20/310,081.80 = 180,477.20/x
  3. Step 3: Cross multiply
    206,721.20x = 310,081.80 × 180,477.20
  4. Step 4: Simplify right side
    206,721.20x = 55,962,695,034.96
  5. Step 5: Solve for x
    x = 55,962,695,034.96/206,721.20
  6. Step 6: Final answer
    x = 270,715.80

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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.