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Finding the Fourth Proportional to 306,051.73, 422,342.91 and 170,082.19

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Solution

The fourth proportional to 306,051.73, 422,342.91 and 170,082.19 is: 234,708.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,051.73 : 422,342.91 = 170,082.19 : x
  2. Step 2: Convert to fraction form
    306,051.73/422,342.91 = 170,082.19/x
  3. Step 3: Cross multiply
    306,051.73x = 422,342.91 × 170,082.19
  4. Step 4: Simplify right side
    306,051.73x = 71,833,007,063.77
  5. Step 5: Solve for x
    x = 71,833,007,063.77/306,051.73
  6. Step 6: Final answer
    x = 234,708.71

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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.