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Finding the Fourth Proportional to 415,995.40, 622,351.38 and 315,084.16

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Solution

The fourth proportional to 415,995.40, 622,351.38 and 315,084.16 is: 471,382.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,995.40 : 622,351.38 = 315,084.16 : x
  2. Step 2: Convert to fraction form
    415,995.40/622,351.38 = 315,084.16/x
  3. Step 3: Cross multiply
    415,995.40x = 622,351.38 × 315,084.16
  4. Step 4: Simplify right side
    415,995.40x = 196,093,061,792.14
  5. Step 5: Solve for x
    x = 196,093,061,792.14/415,995.40
  6. Step 6: Final answer
    x = 471,382.76

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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.