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Finding the Fourth Proportional to 278,048.92, 416,762.34 and 120,040.60

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Solution

The fourth proportional to 278,048.92, 416,762.34 and 120,040.60 is: 179,926.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,048.92 : 416,762.34 = 120,040.60 : x
  2. Step 2: Convert to fraction form
    278,048.92/416,762.34 = 120,040.60/x
  3. Step 3: Cross multiply
    278,048.92x = 416,762.34 × 120,040.60
  4. Step 4: Simplify right side
    278,048.92x = 50,028,401,351.00
  5. Step 5: Solve for x
    x = 50,028,401,351.00/278,048.92
  6. Step 6: Final answer
    x = 179,926.62

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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.