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Finding the Fourth Proportional to 353,049.75, 487,206.69 and 200,116.86

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Solution

The fourth proportional to 353,049.75, 487,206.69 and 200,116.86 is: 276,160.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,049.75 : 487,206.69 = 200,116.86 : x
  2. Step 2: Convert to fraction form
    353,049.75/487,206.69 = 200,116.86/x
  3. Step 3: Cross multiply
    353,049.75x = 487,206.69 × 200,116.86
  4. Step 4: Simplify right side
    353,049.75x = 97,498,272,973.79
  5. Step 5: Solve for x
    x = 97,498,272,973.79/353,049.75
  6. Step 6: Final answer
    x = 276,160.15

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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.