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Finding the Fourth Proportional to 290,311.82, 435,518.79 and 132,556.22

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Solution

The fourth proportional to 290,311.82, 435,518.79 and 132,556.22 is: 198,857.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,311.82 : 435,518.79 = 132,556.22 : x
  2. Step 2: Convert to fraction form
    290,311.82/435,518.79 = 132,556.22/x
  3. Step 3: Cross multiply
    290,311.82x = 435,518.79 × 132,556.22
  4. Step 4: Simplify right side
    290,311.82x = 57,730,724,541.37
  5. Step 5: Solve for x
    x = 57,730,724,541.37/290,311.82
  6. Step 6: Final answer
    x = 198,857.64

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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.