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Finding the Fourth Proportional to 489,410.40, 733,896.90 and 189,791.40

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Solution

The fourth proportional to 489,410.40, 733,896.90 and 189,791.40 is: 284,602.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,410.40 : 733,896.90 = 189,791.40 : x
  2. Step 2: Convert to fraction form
    489,410.40/733,896.90 = 189,791.40/x
  3. Step 3: Cross multiply
    489,410.40x = 733,896.90 × 189,791.40
  4. Step 4: Simplify right side
    489,410.40x = 139,287,320,106.66
  5. Step 5: Solve for x
    x = 139,287,320,106.66/489,410.40
  6. Step 6: Final answer
    x = 284,602.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.