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Finding the Fourth Proportional to 262,817.60, 394,416.47 and 105,090.08

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Solution

The fourth proportional to 262,817.60, 394,416.47 and 105,090.08 is: 157,711.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,817.60 : 394,416.47 = 105,090.08 : x
  2. Step 2: Convert to fraction form
    262,817.60/394,416.47 = 105,090.08/x
  3. Step 3: Cross multiply
    262,817.60x = 394,416.47 × 105,090.08
  4. Step 4: Simplify right side
    262,817.60x = 41,449,256,676.26
  5. Step 5: Solve for x
    x = 41,449,256,676.26/262,817.60
  6. Step 6: Final answer
    x = 157,711.12

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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.