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Finding the Fourth Proportional to 306,380.75, 422,632.89 and 183,841.43

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Solution

The fourth proportional to 306,380.75, 422,632.89 and 183,841.43 is: 253,597.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,380.75 : 422,632.89 = 183,841.43 : x
  2. Step 2: Convert to fraction form
    306,380.75/422,632.89 = 183,841.43/x
  3. Step 3: Cross multiply
    306,380.75x = 422,632.89 × 183,841.43
  4. Step 4: Simplify right side
    306,380.75x = 77,697,432,749.47
  5. Step 5: Solve for x
    x = 77,697,432,749.47/306,380.75
  6. Step 6: Final answer
    x = 253,597.64

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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.