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Finding the Fourth Proportional to 306,499.75, 422,971.77 and 170,539.43

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Solution

The fourth proportional to 306,499.75, 422,971.77 and 170,539.43 is: 235,345.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,499.75 : 422,971.77 = 170,539.43 : x
  2. Step 2: Convert to fraction form
    306,499.75/422,971.77 = 170,539.43/x
  3. Step 3: Cross multiply
    306,499.75x = 422,971.77 × 170,539.43
  4. Step 4: Simplify right side
    306,499.75x = 72,133,364,561.89
  5. Step 5: Solve for x
    x = 72,133,364,561.89/306,499.75
  6. Step 6: Final answer
    x = 235,345.59

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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.