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Finding the Fourth Proportional to 262,893.60, 394,502.40 and 105,105.60

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Solution

The fourth proportional to 262,893.60, 394,502.40 and 105,105.60 is: 157,723.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,893.60 : 394,502.40 = 105,105.60 : x
  2. Step 2: Convert to fraction form
    262,893.60/394,502.40 = 105,105.60/x
  3. Step 3: Cross multiply
    262,893.60x = 394,502.40 × 105,105.60
  4. Step 4: Simplify right side
    262,893.60x = 41,464,411,453.44
  5. Step 5: Solve for x
    x = 41,464,411,453.44/262,893.60
  6. Step 6: Final answer
    x = 157,723.17

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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.