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Finding the Fourth Proportional to 489,725.13, 733,552.81 and 309,717.96

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Solution

The fourth proportional to 489,725.13, 733,552.81 and 309,717.96 is: 463,922.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,725.13 : 733,552.81 = 309,717.96 : x
  2. Step 2: Convert to fraction form
    489,725.13/733,552.81 = 309,717.96/x
  3. Step 3: Cross multiply
    489,725.13x = 733,552.81 × 309,717.96
  4. Step 4: Simplify right side
    489,725.13x = 227,194,476,340.35
  5. Step 5: Solve for x
    x = 227,194,476,340.35/489,725.13
  6. Step 6: Final answer
    x = 463,922.43

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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.