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Finding the Fourth Proportional to 512,600.87, 707,359.91 and 306,102.29

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Solution

The fourth proportional to 512,600.87, 707,359.91 and 306,102.29 is: 422,403.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,600.87 : 707,359.91 = 306,102.29 : x
  2. Step 2: Convert to fraction form
    512,600.87/707,359.91 = 306,102.29/x
  3. Step 3: Cross multiply
    512,600.87x = 707,359.91 × 306,102.29
  4. Step 4: Simplify right side
    512,600.87x = 216,524,483,237.88
  5. Step 5: Solve for x
    x = 216,524,483,237.88/512,600.87
  6. Step 6: Final answer
    x = 422,403.66

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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.