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Finding the Fourth Proportional to 206,406.64, 284,852.67 and 155,327.50

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Solution

The fourth proportional to 206,406.64, 284,852.67 and 155,327.50 is: 214,360.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,406.64 : 284,852.67 = 155,327.50 : x
  2. Step 2: Convert to fraction form
    206,406.64/284,852.67 = 155,327.50/x
  3. Step 3: Cross multiply
    206,406.64x = 284,852.67 × 155,327.50
  4. Step 4: Simplify right side
    206,406.64x = 44,245,453,099.43
  5. Step 5: Solve for x
    x = 44,245,453,099.43/206,406.64
  6. Step 6: Final answer
    x = 214,360.61

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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.