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Finding the Fourth Proportional to 281,245.64, 422,160.06 and 188,400.20

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Solution

The fourth proportional to 281,245.64, 422,160.06 and 188,400.20 is: 282,795.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,245.64 : 422,160.06 = 188,400.20 : x
  2. Step 2: Convert to fraction form
    281,245.64/422,160.06 = 188,400.20/x
  3. Step 3: Cross multiply
    281,245.64x = 422,160.06 × 188,400.20
  4. Step 4: Simplify right side
    281,245.64x = 79,535,039,736.01
  5. Step 5: Solve for x
    x = 79,535,039,736.01/281,245.64
  6. Step 6: Final answer
    x = 282,795.64

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1.5x scale

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.