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Finding the Fourth Proportional to 274,470.22, 411,494.26 and 139,423.32

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Solution

The fourth proportional to 274,470.22, 411,494.26 and 139,423.32 is: 209,027.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,470.22 : 411,494.26 = 139,423.32 : x
  2. Step 2: Convert to fraction form
    274,470.22/411,494.26 = 139,423.32/x
  3. Step 3: Cross multiply
    274,470.22x = 411,494.26 × 139,423.32
  4. Step 4: Simplify right side
    274,470.22x = 57,371,895,890.14
  5. Step 5: Solve for x
    x = 57,371,895,890.14/274,470.22
  6. Step 6: Final answer
    x = 209,027.76

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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.