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Finding the Fourth Proportional to 376,076.84, 518,977.14 and 206,309.48

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Solution

The fourth proportional to 376,076.84, 518,977.14 and 206,309.48 is: 284,702.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,076.84 : 518,977.14 = 206,309.48 : x
  2. Step 2: Convert to fraction form
    376,076.84/518,977.14 = 206,309.48/x
  3. Step 3: Cross multiply
    376,076.84x = 518,977.14 × 206,309.48
  4. Step 4: Simplify right side
    376,076.84x = 107,069,903,885.29
  5. Step 5: Solve for x
    x = 107,069,903,885.29/376,076.84
  6. Step 6: Final answer
    x = 284,702.20

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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.