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Finding the Fourth Proportional to 280,860.40, 421,290.60 and 122,921.20

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Solution

The fourth proportional to 280,860.40, 421,290.60 and 122,921.20 is: 184,381.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,860.40 : 421,290.60 = 122,921.20 : x
  2. Step 2: Convert to fraction form
    280,860.40/421,290.60 = 122,921.20/x
  3. Step 3: Cross multiply
    280,860.40x = 421,290.60 × 122,921.20
  4. Step 4: Simplify right side
    280,860.40x = 51,785,546,100.72
  5. Step 5: Solve for x
    x = 51,785,546,100.72/280,860.40
  6. Step 6: Final answer
    x = 184,381.80

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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.