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Finding the Fourth Proportional to 280,728.56, 421,233.60 and 130,980.80

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Solution

The fourth proportional to 280,728.56, 421,233.60 and 130,980.80 is: 196,536.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,728.56 : 421,233.60 = 130,980.80 : x
  2. Step 2: Convert to fraction form
    280,728.56/421,233.60 = 130,980.80/x
  3. Step 3: Cross multiply
    280,728.56x = 421,233.60 × 130,980.80
  4. Step 4: Simplify right side
    280,728.56x = 55,173,513,914.88
  5. Step 5: Solve for x
    x = 55,173,513,914.88/280,728.56
  6. Step 6: Final answer
    x = 196,536.88

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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.