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Finding the Fourth Proportional to 381,386.81, 526,313.80 and 211,648.25

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Solution

The fourth proportional to 381,386.81, 526,313.80 and 211,648.25 is: 292,074.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,386.81 : 526,313.80 = 211,648.25 : x
  2. Step 2: Convert to fraction form
    381,386.81/526,313.80 = 211,648.25/x
  3. Step 3: Cross multiply
    381,386.81x = 526,313.80 × 211,648.25
  4. Step 4: Simplify right side
    381,386.81x = 111,393,396,301.20
  5. Step 5: Solve for x
    x = 111,393,396,301.20/381,386.81
  6. Step 6: Final answer
    x = 292,074.59

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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.