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Finding the Fourth Proportional to 306,282.58, 422,670.31 and 170,313.62

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Solution

The fourth proportional to 306,282.58, 422,670.31 and 170,313.62 is: 235,032.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,282.58 : 422,670.31 = 170,313.62 : x
  2. Step 2: Convert to fraction form
    306,282.58/422,670.31 = 170,313.62/x
  3. Step 3: Cross multiply
    306,282.58x = 422,670.31 × 170,313.62
  4. Step 4: Simplify right side
    306,282.58x = 71,986,508,023.49
  5. Step 5: Solve for x
    x = 71,986,508,023.49/306,282.58
  6. Step 6: Final answer
    x = 235,032.98

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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.