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Finding the Fourth Proportional to 381,724.77, 526,803.92 and 211,960.11

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Solution

The fourth proportional to 381,724.77, 526,803.92 and 211,960.11 is: 292,518.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,724.77 : 526,803.92 = 211,960.11 : x
  2. Step 2: Convert to fraction form
    381,724.77/526,803.92 = 211,960.11/x
  3. Step 3: Cross multiply
    381,724.77x = 526,803.92 × 211,960.11
  4. Step 4: Simplify right side
    381,724.77x = 111,661,416,831.63
  5. Step 5: Solve for x
    x = 111,661,416,831.63/381,724.77
  6. Step 6: Final answer
    x = 292,518.13

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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.