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Finding the Fourth Proportional to 412,639.58, 618,965.85 and 187,990.94

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Solution

The fourth proportional to 412,639.58, 618,965.85 and 187,990.94 is: 281,989.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,639.58 : 618,965.85 = 187,990.94 : x
  2. Step 2: Convert to fraction form
    412,639.58/618,965.85 = 187,990.94/x
  3. Step 3: Cross multiply
    412,639.58x = 618,965.85 × 187,990.94
  4. Step 4: Simplify right side
    412,639.58x = 116,359,968,874.57
  5. Step 5: Solve for x
    x = 116,359,968,874.57/412,639.58
  6. Step 6: Final answer
    x = 281,989.36

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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.