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Finding the Fourth Proportional to 325,843.40, 488,765.10 and 280,742.60

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Solution

The fourth proportional to 325,843.40, 488,765.10 and 280,742.60 is: 421,113.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,843.40 : 488,765.10 = 280,742.60 : x
  2. Step 2: Convert to fraction form
    325,843.40/488,765.10 = 280,742.60/x
  3. Step 3: Cross multiply
    325,843.40x = 488,765.10 × 280,742.60
  4. Step 4: Simplify right side
    325,843.40x = 137,217,184,963.26
  5. Step 5: Solve for x
    x = 137,217,184,963.26/325,843.40
  6. Step 6: Final answer
    x = 421,113.90

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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.