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Finding the Fourth Proportional to 305,100.78, 421,206.64 and 208,449.96

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Solution

The fourth proportional to 305,100.78, 421,206.64 and 208,449.96 is: 287,775.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,100.78 : 421,206.64 = 208,449.96 : x
  2. Step 2: Convert to fraction form
    305,100.78/421,206.64 = 208,449.96/x
  3. Step 3: Cross multiply
    305,100.78x = 421,206.64 × 208,449.96
  4. Step 4: Simplify right side
    305,100.78x = 87,800,507,259.73
  5. Step 5: Solve for x
    x = 87,800,507,259.73/305,100.78
  6. Step 6: Final answer
    x = 287,775.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.