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Finding the Fourth Proportional to 519,137.30, 716,217.90 and 304,198.94

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Solution

The fourth proportional to 519,137.30, 716,217.90 and 304,198.94 is: 419,682.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,137.30 : 716,217.90 = 304,198.94 : x
  2. Step 2: Convert to fraction form
    519,137.30/716,217.90 = 304,198.94/x
  3. Step 3: Cross multiply
    519,137.30x = 716,217.90 × 304,198.94
  4. Step 4: Simplify right side
    519,137.30x = 217,872,726,638.83
  5. Step 5: Solve for x
    x = 217,872,726,638.83/519,137.30
  6. Step 6: Final answer
    x = 419,682.28

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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.