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Finding the Fourth Proportional to 274,515.36, 411,760.91 and 74,835.77

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Solution

The fourth proportional to 274,515.36, 411,760.91 and 74,835.77 is: 112,250.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,515.36 : 411,760.91 = 74,835.77 : x
  2. Step 2: Convert to fraction form
    274,515.36/411,760.91 = 74,835.77/x
  3. Step 3: Cross multiply
    274,515.36x = 411,760.91 × 74,835.77
  4. Step 4: Simplify right side
    274,515.36x = 30,814,442,322.77
  5. Step 5: Solve for x
    x = 30,814,442,322.77/274,515.36
  6. Step 6: Final answer
    x = 112,250.34

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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.