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Finding the Fourth Proportional to 381,415.36, 526,361.76 and 211,647.04

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Solution

The fourth proportional to 381,415.36, 526,361.76 and 211,647.04 is: 292,077.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,415.36 : 526,361.76 = 211,647.04 : x
  2. Step 2: Convert to fraction form
    381,415.36/526,361.76 = 211,647.04/x
  3. Step 3: Cross multiply
    381,415.36x = 526,361.76 × 211,647.04
  4. Step 4: Simplify right side
    381,415.36x = 111,402,908,473.19
  5. Step 5: Solve for x
    x = 111,402,908,473.19/381,415.36
  6. Step 6: Final answer
    x = 292,077.67

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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.