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Finding the Fourth Proportional to 376,075.82, 518,998.12 and 206,314.94

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Solution

The fourth proportional to 376,075.82, 518,998.12 and 206,314.94 is: 284,722.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,075.82 : 518,998.12 = 206,314.94 : x
  2. Step 2: Convert to fraction form
    376,075.82/518,998.12 = 206,314.94/x
  3. Step 3: Cross multiply
    376,075.82x = 518,998.12 × 206,314.94
  4. Step 4: Simplify right side
    376,075.82x = 107,077,065,987.91
  5. Step 5: Solve for x
    x = 107,077,065,987.91/376,075.82
  6. Step 6: Final answer
    x = 284,722.02

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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.