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Finding the Fourth Proportional to 378,900.90, 522,887.58 and 209,135.16

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Solution

The fourth proportional to 378,900.90, 522,887.58 and 209,135.16 is: 288,608.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,900.90 : 522,887.58 = 209,135.16 : x
  2. Step 2: Convert to fraction form
    378,900.90/522,887.58 = 209,135.16/x
  3. Step 3: Cross multiply
    378,900.90x = 522,887.58 × 209,135.16
  4. Step 4: Simplify right side
    378,900.90x = 109,354,177,705.31
  5. Step 5: Solve for x
    x = 109,354,177,705.31/378,900.90
  6. Step 6: Final answer
    x = 288,608.92

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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.