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Finding the Fourth Proportional to 306,379.04, 422,797.00 and 170,410.06

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Solution

The fourth proportional to 306,379.04, 422,797.00 and 170,410.06 is: 235,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,379.04 : 422,797.00 = 170,410.06 : x
  2. Step 2: Convert to fraction form
    306,379.04/422,797.00 = 170,410.06/x
  3. Step 3: Cross multiply
    306,379.04x = 422,797.00 × 170,410.06
  4. Step 4: Simplify right side
    306,379.04x = 72,048,862,559.81
  5. Step 5: Solve for x
    x = 72,048,862,559.81/306,379.04
  6. Step 6: Final answer
    x = 235,162.50

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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.