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Finding the Fourth Proportional to 416,969.87, 575,419.41 and 225,983.21

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Solution

The fourth proportional to 416,969.87, 575,419.41 and 225,983.21 is: 311,857.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,969.87 : 575,419.41 = 225,983.21 : x
  2. Step 2: Convert to fraction form
    416,969.87/575,419.41 = 225,983.21/x
  3. Step 3: Cross multiply
    416,969.87x = 575,419.41 × 225,983.21
  4. Step 4: Simplify right side
    416,969.87x = 130,035,122,491.01
  5. Step 5: Solve for x
    x = 130,035,122,491.01/416,969.87
  6. Step 6: Final answer
    x = 311,857.36

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1.5x scale

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.