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Finding the Fourth Proportional to 381,825, 526,918.68 and 212,060.52

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Solution

The fourth proportional to 381,825, 526,918.68 and 212,060.52 is: 292,643.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,825 : 526,918.68 = 212,060.52 : x
  2. Step 2: Convert to fraction form
    381,825/526,918.68 = 212,060.52/x
  3. Step 3: Cross multiply
    381,825x = 526,918.68 × 212,060.52
  4. Step 4: Simplify right side
    381,825x = 111,738,649,278.51
  5. Step 5: Solve for x
    x = 111,738,649,278.51/381,825
  6. Step 6: Final answer
    x = 292,643.62

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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.