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Finding the Fourth Proportional to 353,078.30, 487,129.44 and 200,104.47

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Solution

The fourth proportional to 353,078.30, 487,129.44 and 200,104.47 is: 276,076.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,078.30 : 487,129.44 = 200,104.47 : x
  2. Step 2: Convert to fraction form
    353,078.30/487,129.44 = 200,104.47/x
  3. Step 3: Cross multiply
    353,078.30x = 487,129.44 × 200,104.47
  4. Step 4: Simplify right side
    353,078.30x = 97,476,778,412.60
  5. Step 5: Solve for x
    x = 97,476,778,412.60/353,078.30
  6. Step 6: Final answer
    x = 276,076.95

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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.