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Finding the Fourth Proportional to 290,112, 435,835.08 and 206,076.48

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Solution

The fourth proportional to 290,112, 435,835.08 and 206,076.48 is: 309,588.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,112 : 435,835.08 = 206,076.48 : x
  2. Step 2: Convert to fraction form
    290,112/435,835.08 = 206,076.48/x
  3. Step 3: Cross multiply
    290,112x = 435,835.08 × 206,076.48
  4. Step 4: Simplify right side
    290,112x = 89,815,359,146.92
  5. Step 5: Solve for x
    x = 89,815,359,146.92/290,112
  6. Step 6: Final answer
    x = 309,588.57

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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.