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Finding the Fourth Proportional to 381,241.16, 526,129.98 and 211,475.24

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Solution

The fourth proportional to 381,241.16, 526,129.98 and 211,475.24 is: 291,845.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,241.16 : 526,129.98 = 211,475.24 : x
  2. Step 2: Convert to fraction form
    381,241.16/526,129.98 = 211,475.24/x
  3. Step 3: Cross multiply
    381,241.16x = 526,129.98 × 211,475.24
  4. Step 4: Simplify right side
    381,241.16x = 111,263,463,791.70
  5. Step 5: Solve for x
    x = 111,263,463,791.70/381,241.16
  6. Step 6: Final answer
    x = 291,845.36

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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.