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Finding the Fourth Proportional to 410,305, 566,152.50 and 274,120.60

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Solution

The fourth proportional to 410,305, 566,152.50 and 274,120.60 is: 378,240.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,305 : 566,152.50 = 274,120.60 : x
  2. Step 2: Convert to fraction form
    410,305/566,152.50 = 274,120.60/x
  3. Step 3: Cross multiply
    410,305x = 566,152.50 × 274,120.60
  4. Step 4: Simplify right side
    410,305x = 155,194,062,991.50
  5. Step 5: Solve for x
    x = 155,194,062,991.50/410,305
  6. Step 6: Final answer
    x = 378,240.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.