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Finding the Fourth Proportional to 381,501.56, 526,496.76 and 211,735.69

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Solution

The fourth proportional to 381,501.56, 526,496.76 and 211,735.69 is: 292,208.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,501.56 : 526,496.76 = 211,735.69 : x
  2. Step 2: Convert to fraction form
    381,501.56/526,496.76 = 211,735.69/x
  3. Step 3: Cross multiply
    381,501.56x = 526,496.76 × 211,735.69
  4. Step 4: Simplify right side
    381,501.56x = 111,478,153,445.12
  5. Step 5: Solve for x
    x = 111,478,153,445.12/381,501.56
  6. Step 6: Final answer
    x = 292,208.90

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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.