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Finding the Fourth Proportional to 548,846.10, 821,656.35 and 409,223.70

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Solution

The fourth proportional to 548,846.10, 821,656.35 and 409,223.70 is: 612,633.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,846.10 : 821,656.35 = 409,223.70 : x
  2. Step 2: Convert to fraction form
    548,846.10/821,656.35 = 409,223.70/x
  3. Step 3: Cross multiply
    548,846.10x = 821,656.35 × 409,223.70
  4. Step 4: Simplify right side
    548,846.10x = 336,241,251,675.50
  5. Step 5: Solve for x
    x = 336,241,251,675.50/548,846.10
  6. Step 6: Final answer
    x = 612,633.03

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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.