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Finding the Fourth Proportional to 369,976.92, 510,568.60 and 200,211.05

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Solution

The fourth proportional to 369,976.92, 510,568.60 and 200,211.05 is: 276,291.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,976.92 : 510,568.60 = 200,211.05 : x
  2. Step 2: Convert to fraction form
    369,976.92/510,568.60 = 200,211.05/x
  3. Step 3: Cross multiply
    369,976.92x = 510,568.60 × 200,211.05
  4. Step 4: Simplify right side
    369,976.92x = 102,221,472,950.19
  5. Step 5: Solve for x
    x = 102,221,472,950.19/369,976.92
  6. Step 6: Final answer
    x = 276,291.49

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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.