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Finding the Fourth Proportional to 376,055.82, 518,957.13 and 206,289.95

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Solution

The fourth proportional to 376,055.82, 518,957.13 and 206,289.95 is: 284,680.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,055.82 : 518,957.13 = 206,289.95 : x
  2. Step 2: Convert to fraction form
    376,055.82/518,957.13 = 206,289.95/x
  3. Step 3: Cross multiply
    376,055.82x = 518,957.13 × 206,289.95
  4. Step 4: Simplify right side
    376,055.82x = 107,055,637,805.06
  5. Step 5: Solve for x
    x = 107,055,637,805.06/376,055.82
  6. Step 6: Final answer
    x = 284,680.18

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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.