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Finding the Fourth Proportional to 489,169.30, 733,863.30 and 189,623.20

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Solution

The fourth proportional to 489,169.30, 733,863.30 and 189,623.20 is: 284,477.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,169.30 : 733,863.30 = 189,623.20 : x
  2. Step 2: Convert to fraction form
    489,169.30/733,863.30 = 189,623.20/x
  3. Step 3: Cross multiply
    489,169.30x = 733,863.30 × 189,623.20
  4. Step 4: Simplify right side
    489,169.30x = 139,157,507,308.56
  5. Step 5: Solve for x
    x = 139,157,507,308.56/489,169.30
  6. Step 6: Final answer
    x = 284,477.19

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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.