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Finding the Fourth Proportional to 290,097.69, 435,072.69 and 90,380.85

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Solution

The fourth proportional to 290,097.69, 435,072.69 and 90,380.85 is: 135,548.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,097.69 : 435,072.69 = 90,380.85 : x
  2. Step 2: Convert to fraction form
    290,097.69/435,072.69 = 90,380.85/x
  3. Step 3: Cross multiply
    290,097.69x = 435,072.69 × 90,380.85
  4. Step 4: Simplify right side
    290,097.69x = 39,322,239,533.99
  5. Step 5: Solve for x
    x = 39,322,239,533.99/290,097.69
  6. Step 6: Final answer
    x = 135,548.27

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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.