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Finding the Fourth Proportional to 375,672.48, 518,440.56 and 205,907.04

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Solution

The fourth proportional to 375,672.48, 518,440.56 and 205,907.04 is: 284,158.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,672.48 : 518,440.56 = 205,907.04 : x
  2. Step 2: Convert to fraction form
    375,672.48/518,440.56 = 205,907.04/x
  3. Step 3: Cross multiply
    375,672.48x = 518,440.56 × 205,907.04
  4. Step 4: Simplify right side
    375,672.48x = 106,750,561,125.54
  5. Step 5: Solve for x
    x = 106,750,561,125.54/375,672.48
  6. Step 6: Final answer
    x = 284,158.59

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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.