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Finding the Fourth Proportional to 265,815, 398,668.08 and 76,224.57

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Solution

The fourth proportional to 265,815, 398,668.08 and 76,224.57 is: 114,321.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,815 : 398,668.08 = 76,224.57 : x
  2. Step 2: Convert to fraction form
    265,815/398,668.08 = 76,224.57/x
  3. Step 3: Cross multiply
    265,815x = 398,668.08 × 76,224.57
  4. Step 4: Simplify right side
    265,815x = 30,388,302,970.73
  5. Step 5: Solve for x
    x = 30,388,302,970.73/265,815
  6. Step 6: Final answer
    x = 114,321.25

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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.