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Finding the Fourth Proportional to 203,304.60, 280,394.64 and 143,074.80

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Solution

The fourth proportional to 203,304.60, 280,394.64 and 143,074.80 is: 197,326.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,304.60 : 280,394.64 = 143,074.80 : x
  2. Step 2: Convert to fraction form
    203,304.60/280,394.64 = 143,074.80/x
  3. Step 3: Cross multiply
    203,304.60x = 280,394.64 × 143,074.80
  4. Step 4: Simplify right side
    203,304.60x = 40,117,407,039.07
  5. Step 5: Solve for x
    x = 40,117,407,039.07/203,304.60
  6. Step 6: Final answer
    x = 197,326.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.