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Finding the Fourth Proportional to 375,912.58, 518,782.98 and 206,146.75

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Solution

The fourth proportional to 375,912.58, 518,782.98 and 206,146.75 is: 284,495.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,912.58 : 518,782.98 = 206,146.75 : x
  2. Step 2: Convert to fraction form
    375,912.58/518,782.98 = 206,146.75/x
  3. Step 3: Cross multiply
    375,912.58x = 518,782.98 × 206,146.75
  4. Step 4: Simplify right side
    375,912.58x = 106,945,425,282.32
  5. Step 5: Solve for x
    x = 106,945,425,282.32/375,912.58
  6. Step 6: Final answer
    x = 284,495.47

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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.