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Finding the Fourth Proportional to 353,217.87, 487,425.81 and 200,266.35

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Solution

The fourth proportional to 353,217.87, 487,425.81 and 200,266.35 is: 276,359.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,217.87 : 487,425.81 = 200,266.35 : x
  2. Step 2: Convert to fraction form
    353,217.87/487,425.81 = 200,266.35/x
  3. Step 3: Cross multiply
    353,217.87x = 487,425.81 × 200,266.35
  4. Step 4: Simplify right side
    353,217.87x = 97,614,987,864.49
  5. Step 5: Solve for x
    x = 97,614,987,864.49/353,217.87
  6. Step 6: Final answer
    x = 276,359.14

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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.