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Finding the Fourth Proportional to 306,409.01, 422,869.98 and 170,468.57

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Solution

The fourth proportional to 306,409.01, 422,869.98 and 170,468.57 is: 235,260.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,409.01 : 422,869.98 = 170,468.57 : x
  2. Step 2: Convert to fraction form
    306,409.01/422,869.98 = 170,468.57/x
  3. Step 3: Cross multiply
    306,409.01x = 422,869.98 × 170,468.57
  4. Step 4: Simplify right side
    306,409.01x = 72,086,040,786.53
  5. Step 5: Solve for x
    x = 72,086,040,786.53/306,409.01
  6. Step 6: Final answer
    x = 235,260.84

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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.