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Finding the Fourth Proportional to 427,039.58, 640,585.78 and 142,755.72

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Solution

The fourth proportional to 427,039.58, 640,585.78 and 142,755.72 is: 214,142.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,039.58 : 640,585.78 = 142,755.72 : x
  2. Step 2: Convert to fraction form
    427,039.58/640,585.78 = 142,755.72/x
  3. Step 3: Cross multiply
    427,039.58x = 640,585.78 × 142,755.72
  4. Step 4: Simplify right side
    427,039.58x = 91,447,284,245.66
  5. Step 5: Solve for x
    x = 91,447,284,245.66/427,039.58
  6. Step 6: Final answer
    x = 214,142.41

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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.