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Finding the Fourth Proportional to 381,814.75, 526,904.36 and 212,064.67

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Solution

The fourth proportional to 381,814.75, 526,904.36 and 212,064.67 is: 292,649.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,814.75 : 526,904.36 = 212,064.67 : x
  2. Step 2: Convert to fraction form
    381,814.75/526,904.36 = 212,064.67/x
  3. Step 3: Cross multiply
    381,814.75x = 526,904.36 × 212,064.67
  4. Step 4: Simplify right side
    381,814.75x = 111,737,799,224.96
  5. Step 5: Solve for x
    x = 111,737,799,224.96/381,814.75
  6. Step 6: Final answer
    x = 292,649.25

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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.