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Finding the Fourth Proportional to 548,861.60, 821,679.60 and 409,239.20

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Solution

The fourth proportional to 548,861.60, 821,679.60 and 409,239.20 is: 612,656.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,861.60 : 821,679.60 = 409,239.20 : x
  2. Step 2: Convert to fraction form
    548,861.60/821,679.60 = 409,239.20/x
  3. Step 3: Cross multiply
    548,861.60x = 821,679.60 × 409,239.20
  4. Step 4: Simplify right side
    548,861.60x = 336,263,502,160.32
  5. Step 5: Solve for x
    x = 336,263,502,160.32/548,861.60
  6. Step 6: Final answer
    x = 612,656.27

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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.