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Finding the Fourth Proportional to 263,284.65, 394,967.93 and 85,750.34

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Solution

The fourth proportional to 263,284.65, 394,967.93 and 85,750.34 is: 128,638.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,284.65 : 394,967.93 = 85,750.34 : x
  2. Step 2: Convert to fraction form
    263,284.65/394,967.93 = 85,750.34/x
  3. Step 3: Cross multiply
    263,284.65x = 394,967.93 × 85,750.34
  4. Step 4: Simplify right side
    263,284.65x = 33,868,631,883.00
  5. Step 5: Solve for x
    x = 33,868,631,883.00/263,284.65
  6. Step 6: Final answer
    x = 128,638.84

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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.