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Finding the Fourth Proportional to 300,870.53, 415,220.69 and 166,743.17

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Solution

The fourth proportional to 300,870.53, 415,220.69 and 166,743.17 is: 230,116.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,870.53 : 415,220.69 = 166,743.17 : x
  2. Step 2: Convert to fraction form
    300,870.53/415,220.69 = 166,743.17/x
  3. Step 3: Cross multiply
    300,870.53x = 415,220.69 × 166,743.17
  4. Step 4: Simplify right side
    300,870.53x = 69,235,214,100.19
  5. Step 5: Solve for x
    x = 69,235,214,100.19/300,870.53
  6. Step 6: Final answer
    x = 230,116.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.