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Finding the Fourth Proportional to 381,561.56, 526,528.59 and 211,782.32

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Solution

The fourth proportional to 381,561.56, 526,528.59 and 211,782.32 is: 292,244.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,561.56 : 526,528.59 = 211,782.32 : x
  2. Step 2: Convert to fraction form
    381,561.56/526,528.59 = 211,782.32/x
  3. Step 3: Cross multiply
    381,561.56x = 526,528.59 × 211,782.32
  4. Step 4: Simplify right side
    381,561.56x = 111,509,443,703.89
  5. Step 5: Solve for x
    x = 111,509,443,703.89/381,561.56
  6. Step 6: Final answer
    x = 292,244.97

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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.