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Finding the Fourth Proportional to 300,971.16, 451,526.09 and 101,286.32

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Solution

The fourth proportional to 300,971.16, 451,526.09 and 101,286.32 is: 151,952.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,971.16 : 451,526.09 = 101,286.32 : x
  2. Step 2: Convert to fraction form
    300,971.16/451,526.09 = 101,286.32/x
  3. Step 3: Cross multiply
    300,971.16x = 451,526.09 × 101,286.32
  4. Step 4: Simplify right side
    300,971.16x = 45,733,413,276.03
  5. Step 5: Solve for x
    x = 45,733,413,276.03/300,971.16
  6. Step 6: Final answer
    x = 151,952.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.