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Finding the Fourth Proportional to 280,851.40, 421,277.10 and 122,912.20

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Solution

The fourth proportional to 280,851.40, 421,277.10 and 122,912.20 is: 184,368.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,851.40 : 421,277.10 = 122,912.20 : x
  2. Step 2: Convert to fraction form
    280,851.40/421,277.10 = 122,912.20/x
  3. Step 3: Cross multiply
    280,851.40x = 421,277.10 × 122,912.20
  4. Step 4: Simplify right side
    280,851.40x = 51,780,095,170.62
  5. Step 5: Solve for x
    x = 51,780,095,170.62/280,851.40
  6. Step 6: Final answer
    x = 184,368.30

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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.