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Finding the Fourth Proportional to 348,648.30, 521,652.42 and 206,569.71

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Solution

The fourth proportional to 348,648.30, 521,652.42 and 206,569.71 is: 309,072.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,648.30 : 521,652.42 = 206,569.71 : x
  2. Step 2: Convert to fraction form
    348,648.30/521,652.42 = 206,569.71/x
  3. Step 3: Cross multiply
    348,648.30x = 521,652.42 × 206,569.71
  4. Step 4: Simplify right side
    348,648.30x = 107,757,589,120.20
  5. Step 5: Solve for x
    x = 107,757,589,120.20/348,648.30
  6. Step 6: Final answer
    x = 309,072.46

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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.