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Finding the Fourth Proportional to 378,912.78, 522,899.64 and 209,146.92

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Solution

The fourth proportional to 378,912.78, 522,899.64 and 209,146.92 is: 288,622.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,912.78 : 522,899.64 = 209,146.92 : x
  2. Step 2: Convert to fraction form
    378,912.78/522,899.64 = 209,146.92/x
  3. Step 3: Cross multiply
    378,912.78x = 522,899.64 × 209,146.92
  4. Step 4: Simplify right side
    378,912.78x = 109,362,849,175.11
  5. Step 5: Solve for x
    x = 109,362,849,175.11/378,912.78
  6. Step 6: Final answer
    x = 288,622.75

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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.