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Finding the Fourth Proportional to 381,546, 526,533.48 and 211,776.48

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Solution

The fourth proportional to 381,546, 526,533.48 and 211,776.48 is: 292,251.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,546 : 526,533.48 = 211,776.48 : x
  2. Step 2: Convert to fraction form
    381,546/526,533.48 = 211,776.48/x
  3. Step 3: Cross multiply
    381,546x = 526,533.48 × 211,776.48
  4. Step 4: Simplify right side
    381,546x = 111,507,406,996.55
  5. Step 5: Solve for x
    x = 111,507,406,996.55/381,546
  6. Step 6: Final answer
    x = 292,251.54

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1.5x scale

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.