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Finding the Fourth Proportional to 277,230.18, 415,896.51 and 87,738.30

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Solution

The fourth proportional to 277,230.18, 415,896.51 and 87,738.30 is: 131,623.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,230.18 : 415,896.51 = 87,738.30 : x
  2. Step 2: Convert to fraction form
    277,230.18/415,896.51 = 87,738.30/x
  3. Step 3: Cross multiply
    277,230.18x = 415,896.51 × 87,738.30
  4. Step 4: Simplify right side
    277,230.18x = 36,490,052,763.33
  5. Step 5: Solve for x
    x = 36,490,052,763.33/277,230.18
  6. Step 6: Final answer
    x = 131,623.67

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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.