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Finding the Fourth Proportional to 200,753,524.80, 300,458,440.80 and 140,287,348.80

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Solution

The fourth proportional to 200,753,524.80, 300,458,440.80 and 140,287,348.80 is: 209,961,534.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,753,524.80 : 300,458,440.80 = 140,287,348.80 : x
  2. Step 2: Convert to fraction form
    200,753,524.80/300,458,440.80 = 140,287,348.80/x
  3. Step 3: Cross multiply
    200,753,524.80x = 300,458,440.80 × 140,287,348.80
  4. Step 4: Simplify right side
    200,753,524.80x = 42,150,518,084,413,760
  5. Step 5: Solve for x
    x = 42,150,518,084,413,760/200,753,524.80
  6. Step 6: Final answer
    x = 209,961,534.31

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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.