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Finding the Fourth Proportional to 205,186.80, 307,780.20 and 200,002.80

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Solution

The fourth proportional to 205,186.80, 307,780.20 and 200,002.80 is: 300,004.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,186.80 : 307,780.20 = 200,002.80 : x
  2. Step 2: Convert to fraction form
    205,186.80/307,780.20 = 200,002.80/x
  3. Step 3: Cross multiply
    205,186.80x = 307,780.20 × 200,002.80
  4. Step 4: Simplify right side
    205,186.80x = 61,556,901,784.56
  5. Step 5: Solve for x
    x = 61,556,901,784.56/205,186.80
  6. Step 6: Final answer
    x = 300,004.20

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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.