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Finding the Fourth Proportional to 203,216.29, 280,426.46 and 111,317.29

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Solution

The fourth proportional to 203,216.29, 280,426.46 and 111,317.29 is: 153,611.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,216.29 : 280,426.46 = 111,317.29 : x
  2. Step 2: Convert to fraction form
    203,216.29/280,426.46 = 111,317.29/x
  3. Step 3: Cross multiply
    203,216.29x = 280,426.46 × 111,317.29
  4. Step 4: Simplify right side
    203,216.29x = 31,216,313,571.49
  5. Step 5: Solve for x
    x = 31,216,313,571.49/203,216.29
  6. Step 6: Final answer
    x = 153,611.28

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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.