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Finding the Fourth Proportional to 381,576.42, 526,602.87 and 211,809.33

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Solution

The fourth proportional to 381,576.42, 526,602.87 and 211,809.33 is: 292,312.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,576.42 : 526,602.87 = 211,809.33 : x
  2. Step 2: Convert to fraction form
    381,576.42/526,602.87 = 211,809.33/x
  3. Step 3: Cross multiply
    381,576.42x = 526,602.87 × 211,809.33
  4. Step 4: Simplify right side
    381,576.42x = 111,539,401,070.78
  5. Step 5: Solve for x
    x = 111,539,401,070.78/381,576.42
  6. Step 6: Final answer
    x = 292,312.09

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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.