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Finding the Fourth Proportional to 375,967.84, 518,838.16 and 206,203.18

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Solution

The fourth proportional to 375,967.84, 518,838.16 and 206,203.18 is: 284,561.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,967.84 : 518,838.16 = 206,203.18 : x
  2. Step 2: Convert to fraction form
    375,967.84/518,838.16 = 206,203.18/x
  3. Step 3: Cross multiply
    375,967.84x = 518,838.16 × 206,203.18
  4. Step 4: Simplify right side
    375,967.84x = 106,986,078,497.35
  5. Step 5: Solve for x
    x = 106,986,078,497.35/375,967.84
  6. Step 6: Final answer
    x = 284,561.78

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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.