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Finding the Fourth Proportional to 270,299.85, 405,651.75 and 101,986.17

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Solution

The fourth proportional to 270,299.85, 405,651.75 and 101,986.17 is: 153,055.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,299.85 : 405,651.75 = 101,986.17 : x
  2. Step 2: Convert to fraction form
    270,299.85/405,651.75 = 101,986.17/x
  3. Step 3: Cross multiply
    270,299.85x = 405,651.75 × 101,986.17
  4. Step 4: Simplify right side
    270,299.85x = 41,370,868,336.30
  5. Step 5: Solve for x
    x = 41,370,868,336.30/270,299.85
  6. Step 6: Final answer
    x = 153,055.46

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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.