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Finding the Fourth Proportional to 489,077.28, 733,553.44 and 189,352.80

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Solution

The fourth proportional to 489,077.28, 733,553.44 and 189,352.80 is: 284,005.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,077.28 : 733,553.44 = 189,352.80 : x
  2. Step 2: Convert to fraction form
    489,077.28/733,553.44 = 189,352.80/x
  3. Step 3: Cross multiply
    489,077.28x = 733,553.44 × 189,352.80
  4. Step 4: Simplify right side
    489,077.28x = 138,900,397,813.63
  5. Step 5: Solve for x
    x = 138,900,397,813.63/489,077.28
  6. Step 6: Final answer
    x = 284,005.01

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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.