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Finding the Fourth Proportional to 548,855.60, 821,670.60 and 409,233.20

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Solution

The fourth proportional to 548,855.60, 821,670.60 and 409,233.20 is: 612,647.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,855.60 : 821,670.60 = 409,233.20 : x
  2. Step 2: Convert to fraction form
    548,855.60/821,670.60 = 409,233.20/x
  3. Step 3: Cross multiply
    548,855.60x = 821,670.60 × 409,233.20
  4. Step 4: Simplify right side
    548,855.60x = 336,254,888,983.92
  5. Step 5: Solve for x
    x = 336,254,888,983.92/548,855.60
  6. Step 6: Final answer
    x = 612,647.28

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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.