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Finding the Fourth Proportional to 280,774.75, 421,138.46 and 120,844.22

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Solution

The fourth proportional to 280,774.75, 421,138.46 and 120,844.22 is: 181,256.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,774.75 : 421,138.46 = 120,844.22 : x
  2. Step 2: Convert to fraction form
    280,774.75/421,138.46 = 120,844.22/x
  3. Step 3: Cross multiply
    280,774.75x = 421,138.46 × 120,844.22
  4. Step 4: Simplify right side
    280,774.75x = 50,892,148,106.48
  5. Step 5: Solve for x
    x = 50,892,148,106.48/280,774.75
  6. Step 6: Final answer
    x = 181,256.15

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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.