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Finding the Fourth Proportional to 381,670.93, 526,685.30 and 211,894.12

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Solution

The fourth proportional to 381,670.93, 526,685.30 and 211,894.12 is: 292,402.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,670.93 : 526,685.30 = 211,894.12 : x
  2. Step 2: Convert to fraction form
    381,670.93/526,685.30 = 211,894.12/x
  3. Step 3: Cross multiply
    381,670.93x = 526,685.30 × 211,894.12
  4. Step 4: Simplify right side
    381,670.93x = 111,601,515,527.01
  5. Step 5: Solve for x
    x = 111,601,515,527.01/381,670.93
  6. Step 6: Final answer
    x = 292,402.46

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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.