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Finding the Fourth Proportional to 274,014.20, 410,762.10 and 161,780.60

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Solution

The fourth proportional to 274,014.20, 410,762.10 and 161,780.60 is: 242,517.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,014.20 : 410,762.10 = 161,780.60 : x
  2. Step 2: Convert to fraction form
    274,014.20/410,762.10 = 161,780.60/x
  3. Step 3: Cross multiply
    274,014.20x = 410,762.10 × 161,780.60
  4. Step 4: Simplify right side
    274,014.20x = 66,453,338,995.26
  5. Step 5: Solve for x
    x = 66,453,338,995.26/274,014.20
  6. Step 6: Final answer
    x = 242,517.87

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1.5x scale

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.