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Finding the Fourth Proportional to 381,134.96, 525,953 and 211,384.88

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Solution

The fourth proportional to 381,134.96, 525,953 and 211,384.88 is: 291,703.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,134.96 : 525,953 = 211,384.88 : x
  2. Step 2: Convert to fraction form
    381,134.96/525,953 = 211,384.88/x
  3. Step 3: Cross multiply
    381,134.96x = 525,953 × 211,384.88
  4. Step 4: Simplify right side
    381,134.96x = 111,178,511,790.64
  5. Step 5: Solve for x
    x = 111,178,511,790.64/381,134.96
  6. Step 6: Final answer
    x = 291,703.79

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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.