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Finding the Fourth Proportional to 376,147.60, 519,079.62 and 206,381.68

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Solution

The fourth proportional to 376,147.60, 519,079.62 and 206,381.68 is: 284,804.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,147.60 : 519,079.62 = 206,381.68 : x
  2. Step 2: Convert to fraction form
    376,147.60/519,079.62 = 206,381.68/x
  3. Step 3: Cross multiply
    376,147.60x = 519,079.62 × 206,381.68
  4. Step 4: Simplify right side
    376,147.60x = 107,128,524,029.36
  5. Step 5: Solve for x
    x = 107,128,524,029.36/376,147.60
  6. Step 6: Final answer
    x = 284,804.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.