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Finding the Fourth Proportional to 284,657.23, 426,640.59 and 209,076.56

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Solution

The fourth proportional to 284,657.23, 426,640.59 and 209,076.56 is: 313,361.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,657.23 : 426,640.59 = 209,076.56 : x
  2. Step 2: Convert to fraction form
    284,657.23/426,640.59 = 209,076.56/x
  3. Step 3: Cross multiply
    284,657.23x = 426,640.59 × 209,076.56
  4. Step 4: Simplify right side
    284,657.23x = 89,200,544,780.37
  5. Step 5: Solve for x
    x = 89,200,544,780.37/284,657.23
  6. Step 6: Final answer
    x = 313,361.25

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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.