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Finding the Fourth Proportional to 494,802.33, 682,830.15 and 279,987.30

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Solution

The fourth proportional to 494,802.33, 682,830.15 and 279,987.30 is: 386,384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,802.33 : 682,830.15 = 279,987.30 : x
  2. Step 2: Convert to fraction form
    494,802.33/682,830.15 = 279,987.30/x
  3. Step 3: Cross multiply
    494,802.33x = 682,830.15 × 279,987.30
  4. Step 4: Simplify right side
    494,802.33x = 191,183,770,057.10
  5. Step 5: Solve for x
    x = 191,183,770,057.10/494,802.33
  6. Step 6: Final answer
    x = 386,384.13

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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.