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Finding the Fourth Proportional to 381,820.80, 526,970.16 and 274,745.28

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Solution

The fourth proportional to 381,820.80, 526,970.16 and 274,745.28 is: 379,189.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,820.80 : 526,970.16 = 274,745.28 : x
  2. Step 2: Convert to fraction form
    381,820.80/526,970.16 = 274,745.28/x
  3. Step 3: Cross multiply
    381,820.80x = 526,970.16 × 274,745.28
  4. Step 4: Simplify right side
    381,820.80x = 144,782,564,160.85
  5. Step 5: Solve for x
    x = 144,782,564,160.85/381,820.80
  6. Step 6: Final answer
    x = 379,189.83

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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.