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Finding the Fourth Proportional to 297,558.16, 445,941.92 and 139,454.24

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Solution

The fourth proportional to 297,558.16, 445,941.92 and 139,454.24 is: 208,996.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,558.16 : 445,941.92 = 139,454.24 : x
  2. Step 2: Convert to fraction form
    297,558.16/445,941.92 = 139,454.24/x
  3. Step 3: Cross multiply
    297,558.16x = 445,941.92 × 139,454.24
  4. Step 4: Simplify right side
    297,558.16x = 62,188,491,537.74
  5. Step 5: Solve for x
    x = 62,188,491,537.74/297,558.16
  6. Step 6: Final answer
    x = 208,996.09

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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.