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Finding the Fourth Proportional to 305,554.73, 421,686.83 and 202,009.02

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Solution

The fourth proportional to 305,554.73, 421,686.83 and 202,009.02 is: 278,786.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,554.73 : 421,686.83 = 202,009.02 : x
  2. Step 2: Convert to fraction form
    305,554.73/421,686.83 = 202,009.02/x
  3. Step 3: Cross multiply
    305,554.73x = 421,686.83 × 202,009.02
  4. Step 4: Simplify right side
    305,554.73x = 85,184,542,265.16
  5. Step 5: Solve for x
    x = 85,184,542,265.16/305,554.73
  6. Step 6: Final answer
    x = 278,786.53

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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.