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Finding the Fourth Proportional to 435,204, 652,899.60 and 135,678.24

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Solution

The fourth proportional to 435,204, 652,899.60 and 135,678.24 is: 203,546.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,204 : 652,899.60 = 135,678.24 : x
  2. Step 2: Convert to fraction form
    435,204/652,899.60 = 135,678.24/x
  3. Step 3: Cross multiply
    435,204x = 652,899.60 × 135,678.24
  4. Step 4: Simplify right side
    435,204x = 88,584,268,624.70
  5. Step 5: Solve for x
    x = 88,584,268,624.70/435,204
  6. Step 6: Final answer
    x = 203,546.54

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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.