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Finding the Fourth Proportional to 408,816.45, 563,683.91 and 279,817.20

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Solution

The fourth proportional to 408,816.45, 563,683.91 and 279,817.20 is: 385,817.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,816.45 : 563,683.91 = 279,817.20 : x
  2. Step 2: Convert to fraction form
    408,816.45/563,683.91 = 279,817.20/x
  3. Step 3: Cross multiply
    408,816.45x = 563,683.91 × 279,817.20
  4. Step 4: Simplify right side
    408,816.45x = 157,728,453,381.25
  5. Step 5: Solve for x
    x = 157,728,453,381.25/408,816.45
  6. Step 6: Final answer
    x = 385,817.29

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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.