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Finding the Fourth Proportional to 415,142.60, 622,229.99 and 190,526.76

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Solution

The fourth proportional to 415,142.60, 622,229.99 and 190,526.76 is: 285,568.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,142.60 : 622,229.99 = 190,526.76 : x
  2. Step 2: Convert to fraction form
    415,142.60/622,229.99 = 190,526.76/x
  3. Step 3: Cross multiply
    415,142.60x = 622,229.99 × 190,526.76
  4. Step 4: Simplify right side
    415,142.60x = 118,551,463,016.90
  5. Step 5: Solve for x
    x = 118,551,463,016.90/415,142.60
  6. Step 6: Final answer
    x = 285,568.05

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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.