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Finding the Fourth Proportional to 263,959, 396,004.50 and 76,970.50

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Solution

The fourth proportional to 263,959, 396,004.50 and 76,970.50 is: 115,475.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,959 : 396,004.50 = 76,970.50 : x
  2. Step 2: Convert to fraction form
    263,959/396,004.50 = 76,970.50/x
  3. Step 3: Cross multiply
    263,959x = 396,004.50 × 76,970.50
  4. Step 4: Simplify right side
    263,959x = 30,480,664,367.25
  5. Step 5: Solve for x
    x = 30,480,664,367.25/263,959
  6. Step 6: Final answer
    x = 115,475.00

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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.