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Finding the Fourth Proportional to 305,604.75, 458,886.94 and 258,833.03

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Solution

The fourth proportional to 305,604.75, 458,886.94 and 258,833.03 is: 388,655.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,604.75 : 458,886.94 = 258,833.03 : x
  2. Step 2: Convert to fraction form
    305,604.75/458,886.94 = 258,833.03/x
  3. Step 3: Cross multiply
    305,604.75x = 458,886.94 × 258,833.03
  4. Step 4: Simplify right side
    305,604.75x = 118,775,093,519.03
  5. Step 5: Solve for x
    x = 118,775,093,519.03/305,604.75
  6. Step 6: Final answer
    x = 388,655.91

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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.