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Finding the Fourth Proportional to 306,524.16, 422,999.28 and 172,388.16

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Solution

The fourth proportional to 306,524.16, 422,999.28 and 172,388.16 is: 237,893.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,524.16 : 422,999.28 = 172,388.16 : x
  2. Step 2: Convert to fraction form
    306,524.16/422,999.28 = 172,388.16/x
  3. Step 3: Cross multiply
    306,524.16x = 422,999.28 × 172,388.16
  4. Step 4: Simplify right side
    306,524.16x = 72,920,067,560.52
  5. Step 5: Solve for x
    x = 72,920,067,560.52/306,524.16
  6. Step 6: Final answer
    x = 237,893.38

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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.