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Finding the Fourth Proportional to 375,648.84, 518,400 and 205,882.56

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Solution

The fourth proportional to 375,648.84, 518,400 and 205,882.56 is: 284,120.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,648.84 : 518,400 = 205,882.56 : x
  2. Step 2: Convert to fraction form
    375,648.84/518,400 = 205,882.56/x
  3. Step 3: Cross multiply
    375,648.84x = 518,400 × 205,882.56
  4. Step 4: Simplify right side
    375,648.84x = 106,729,519,104
  5. Step 5: Solve for x
    x = 106,729,519,104/375,648.84
  6. Step 6: Final answer
    x = 284,120.45

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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.