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Finding the Fourth Proportional to 220,145.40, 303,858 and 205,186.32

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Solution

The fourth proportional to 220,145.40, 303,858 and 205,186.32 is: 283,210.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,145.40 : 303,858 = 205,186.32 : x
  2. Step 2: Convert to fraction form
    220,145.40/303,858 = 205,186.32/x
  3. Step 3: Cross multiply
    220,145.40x = 303,858 × 205,186.32
  4. Step 4: Simplify right side
    220,145.40x = 62,347,504,822.56
  5. Step 5: Solve for x
    x = 62,347,504,822.56/220,145.40
  6. Step 6: Final answer
    x = 283,210.57

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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.