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Finding the Fourth Proportional to 519,328, 716,672.82 and 280,864

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Solution

The fourth proportional to 519,328, 716,672.82 and 280,864 is: 387,592.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,328 : 716,672.82 = 280,864 : x
  2. Step 2: Convert to fraction form
    519,328/716,672.82 = 280,864/x
  3. Step 3: Cross multiply
    519,328x = 716,672.82 × 280,864
  4. Step 4: Simplify right side
    519,328x = 201,287,594,916.48
  5. Step 5: Solve for x
    x = 201,287,594,916.48/519,328
  6. Step 6: Final answer
    x = 387,592.42

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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.