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Finding the Fourth Proportional to 205,987.75, 308,618.23 and 180,401.77

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Solution

The fourth proportional to 205,987.75, 308,618.23 and 180,401.77 is: 270,284.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,987.75 : 308,618.23 = 180,401.77 : x
  2. Step 2: Convert to fraction form
    205,987.75/308,618.23 = 180,401.77/x
  3. Step 3: Cross multiply
    205,987.75x = 308,618.23 × 180,401.77
  4. Step 4: Simplify right side
    205,987.75x = 55,675,274,946.27
  5. Step 5: Solve for x
    x = 55,675,274,946.27/205,987.75
  6. Step 6: Final answer
    x = 270,284.40

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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.