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Finding the Fourth Proportional to 415,129.50, 622,694.25 and 134,646.75

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Solution

The fourth proportional to 415,129.50, 622,694.25 and 134,646.75 is: 201,970.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,129.50 : 622,694.25 = 134,646.75 : x
  2. Step 2: Convert to fraction form
    415,129.50/622,694.25 = 134,646.75/x
  3. Step 3: Cross multiply
    415,129.50x = 622,694.25 × 134,646.75
  4. Step 4: Simplify right side
    415,129.50x = 83,843,757,006.19
  5. Step 5: Solve for x
    x = 83,843,757,006.19/415,129.50
  6. Step 6: Final answer
    x = 201,970.13

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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.