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Finding the Fourth Proportional to 281,645.16, 422,468.37 and 68,412.12

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Solution

The fourth proportional to 281,645.16, 422,468.37 and 68,412.12 is: 102,618.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,645.16 : 422,468.37 = 68,412.12 : x
  2. Step 2: Convert to fraction form
    281,645.16/422,468.37 = 68,412.12/x
  3. Step 3: Cross multiply
    281,645.16x = 422,468.37 × 68,412.12
  4. Step 4: Simplify right side
    281,645.16x = 28,901,956,824.64
  5. Step 5: Solve for x
    x = 28,901,956,824.64/281,645.16
  6. Step 6: Final answer
    x = 102,618.33

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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.