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Finding the Fourth Proportional to 497,896.92, 686,902.14 and 306,578.52

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Solution

The fourth proportional to 497,896.92, 686,902.14 and 306,578.52 is: 422,957.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,896.92 : 686,902.14 = 306,578.52 : x
  2. Step 2: Convert to fraction form
    497,896.92/686,902.14 = 306,578.52/x
  3. Step 3: Cross multiply
    497,896.92x = 686,902.14 × 306,578.52
  4. Step 4: Simplify right side
    497,896.92x = 210,589,441,466.03
  5. Step 5: Solve for x
    x = 210,589,441,466.03/497,896.92
  6. Step 6: Final answer
    x = 422,957.91

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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.