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Finding the Fourth Proportional to 465,003.94, 641,683.58 and 258,285.73

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Solution

The fourth proportional to 465,003.94, 641,683.58 and 258,285.73 is: 356,422.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,003.94 : 641,683.58 = 258,285.73 : x
  2. Step 2: Convert to fraction form
    465,003.94/641,683.58 = 258,285.73/x
  3. Step 3: Cross multiply
    465,003.94x = 641,683.58 × 258,285.73
  4. Step 4: Simplify right side
    465,003.94x = 165,737,708,993.68
  5. Step 5: Solve for x
    x = 165,737,708,993.68/465,003.94
  6. Step 6: Final answer
    x = 356,422.16

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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.