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Finding the Fourth Proportional to 381,617.76, 526,606.12 and 211,838.48

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Solution

The fourth proportional to 381,617.76, 526,606.12 and 211,838.48 is: 292,322.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,617.76 : 526,606.12 = 211,838.48 : x
  2. Step 2: Convert to fraction form
    381,617.76/526,606.12 = 211,838.48/x
  3. Step 3: Cross multiply
    381,617.76x = 526,606.12 × 211,838.48
  4. Step 4: Simplify right side
    381,617.76x = 111,555,440,019.50
  5. Step 5: Solve for x
    x = 111,555,440,019.50/381,617.76
  6. Step 6: Final answer
    x = 292,322.45

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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.