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Finding the Fourth Proportional to 306,302.88, 422,661.12 and 170,302.68

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Solution

The fourth proportional to 306,302.88, 422,661.12 and 170,302.68 is: 234,997.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,302.88 : 422,661.12 = 170,302.68 : x
  2. Step 2: Convert to fraction form
    306,302.88/422,661.12 = 170,302.68/x
  3. Step 3: Cross multiply
    306,302.88x = 422,661.12 × 170,302.68
  4. Step 4: Simplify right side
    306,302.88x = 71,980,321,467.80
  5. Step 5: Solve for x
    x = 71,980,321,467.80/306,302.88
  6. Step 6: Final answer
    x = 234,997.21

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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.