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Finding the Fourth Proportional to 290,108, 435,829.08 and 206,072.48

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Solution

The fourth proportional to 290,108, 435,829.08 and 206,072.48 is: 309,582.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,108 : 435,829.08 = 206,072.48 : x
  2. Step 2: Convert to fraction form
    290,108/435,829.08 = 206,072.48/x
  3. Step 3: Cross multiply
    290,108x = 435,829.08 × 206,072.48
  4. Step 4: Simplify right side
    290,108x = 89,812,379,371.72
  5. Step 5: Solve for x
    x = 89,812,379,371.72/290,108
  6. Step 6: Final answer
    x = 309,582.57

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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.