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Finding the Fourth Proportional to 274,450.46, 411,464.64 and 139,403.57

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Solution

The fourth proportional to 274,450.46, 411,464.64 and 139,403.57 is: 208,998.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,450.46 : 411,464.64 = 139,403.57 : x
  2. Step 2: Convert to fraction form
    274,450.46/411,464.64 = 139,403.57/x
  3. Step 3: Cross multiply
    274,450.46x = 411,464.64 × 139,403.57
  4. Step 4: Simplify right side
    274,450.46x = 57,359,641,296.19
  5. Step 5: Solve for x
    x = 57,359,641,296.19/274,450.46
  6. Step 6: Final answer
    x = 208,998.16

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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.