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Finding the Fourth Proportional to 397,687.86, 595,562.22 and 302,815.80

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Solution

The fourth proportional to 397,687.86, 595,562.22 and 302,815.80 is: 453,485.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,687.86 : 595,562.22 = 302,815.80 : x
  2. Step 2: Convert to fraction form
    397,687.86/595,562.22 = 302,815.80/x
  3. Step 3: Cross multiply
    397,687.86x = 595,562.22 × 302,815.80
  4. Step 4: Simplify right side
    397,687.86x = 180,345,650,099.08
  5. Step 5: Solve for x
    x = 180,345,650,099.08/397,687.86
  6. Step 6: Final answer
    x = 453,485.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.