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Finding the Fourth Proportional to 290,126, 435,856.08 and 206,090.48

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Solution

The fourth proportional to 290,126, 435,856.08 and 206,090.48 is: 309,609.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,126 : 435,856.08 = 206,090.48 : x
  2. Step 2: Convert to fraction form
    290,126/435,856.08 = 206,090.48/x
  3. Step 3: Cross multiply
    290,126x = 435,856.08 × 206,090.48
  4. Step 4: Simplify right side
    290,126x = 89,825,788,738.12
  5. Step 5: Solve for x
    x = 89,825,788,738.12/290,126
  6. Step 6: Final answer
    x = 309,609.58

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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.