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Finding the Fourth Proportional to 416,851.80, 575,256 and 225,865.14

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Solution

The fourth proportional to 416,851.80, 575,256 and 225,865.14 is: 311,694.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,851.80 : 575,256 = 225,865.14 : x
  2. Step 2: Convert to fraction form
    416,851.80/575,256 = 225,865.14/x
  3. Step 3: Cross multiply
    416,851.80x = 575,256 × 225,865.14
  4. Step 4: Simplify right side
    416,851.80x = 129,930,276,975.84
  5. Step 5: Solve for x
    x = 129,930,276,975.84/416,851.80
  6. Step 6: Final answer
    x = 311,694.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.