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Finding the Fourth Proportional to 381,583.74, 526,559.22 and 211,804.50

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Solution

The fourth proportional to 381,583.74, 526,559.22 and 211,804.50 is: 292,275.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,583.74 : 526,559.22 = 211,804.50 : x
  2. Step 2: Convert to fraction form
    381,583.74/526,559.22 = 211,804.50/x
  3. Step 3: Cross multiply
    381,583.74x = 526,559.22 × 211,804.50
  4. Step 4: Simplify right side
    381,583.74x = 111,527,612,312.49
  5. Step 5: Solve for x
    x = 111,527,612,312.49/381,583.74
  6. Step 6: Final answer
    x = 292,275.59

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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.