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Finding the Fourth Proportional to 303,876.71, 419,407.88 and 200,329.21

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Solution

The fourth proportional to 303,876.71, 419,407.88 and 200,329.21 is: 276,492.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,876.71 : 419,407.88 = 200,329.21 : x
  2. Step 2: Convert to fraction form
    303,876.71/419,407.88 = 200,329.21/x
  3. Step 3: Cross multiply
    303,876.71x = 419,407.88 × 200,329.21
  4. Step 4: Simplify right side
    303,876.71x = 84,019,648,790.79
  5. Step 5: Solve for x
    x = 84,019,648,790.79/303,876.71
  6. Step 6: Final answer
    x = 276,492.56

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1.5x scale

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.