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Finding the Fourth Proportional to 415,063.62, 622,682.91 and 134,559

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Solution

The fourth proportional to 415,063.62, 622,682.91 and 134,559 is: 201,866.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,063.62 : 622,682.91 = 134,559 : x
  2. Step 2: Convert to fraction form
    415,063.62/622,682.91 = 134,559/x
  3. Step 3: Cross multiply
    415,063.62x = 622,682.91 × 134,559
  4. Step 4: Simplify right side
    415,063.62x = 83,787,589,686.69
  5. Step 5: Solve for x
    x = 83,787,589,686.69/415,063.62
  6. Step 6: Final answer
    x = 201,866.86

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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.