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Finding the Fourth Proportional to 512,745.10, 707,551.86 and 283,299.86

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Solution

The fourth proportional to 512,745.10, 707,551.86 and 283,299.86 is: 390,933.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,745.10 : 707,551.86 = 283,299.86 : x
  2. Step 2: Convert to fraction form
    512,745.10/707,551.86 = 283,299.86/x
  3. Step 3: Cross multiply
    512,745.10x = 707,551.86 × 283,299.86
  4. Step 4: Simplify right side
    512,745.10x = 200,449,345,711.99
  5. Step 5: Solve for x
    x = 200,449,345,711.99/512,745.10
  6. Step 6: Final answer
    x = 390,933.71

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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.