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Finding the Fourth Proportional to 376,073.82, 518,995.35 and 206,312.94

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Solution

The fourth proportional to 376,073.82, 518,995.35 and 206,312.94 is: 284,719.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,073.82 : 518,995.35 = 206,312.94 : x
  2. Step 2: Convert to fraction form
    376,073.82/518,995.35 = 206,312.94/x
  3. Step 3: Cross multiply
    376,073.82x = 518,995.35 × 206,312.94
  4. Step 4: Simplify right side
    376,073.82x = 107,075,456,504.83
  5. Step 5: Solve for x
    x = 107,075,456,504.83/376,073.82
  6. Step 6: Final answer
    x = 284,719.25

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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.