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Finding the Fourth Proportional to 376,153.98, 519,102.05 and 206,388.06

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Solution

The fourth proportional to 376,153.98, 519,102.05 and 206,388.06 is: 284,820.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,153.98 : 519,102.05 = 206,388.06 : x
  2. Step 2: Convert to fraction form
    376,153.98/519,102.05 = 206,388.06/x
  3. Step 3: Cross multiply
    376,153.98x = 519,102.05 × 206,388.06
  4. Step 4: Simplify right side
    376,153.98x = 107,136,464,009.58
  5. Step 5: Solve for x
    x = 107,136,464,009.58/376,153.98
  6. Step 6: Final answer
    x = 284,820.76

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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.