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Finding the Fourth Proportional to 381,582.74, 526,557.84 and 211,803.50

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Solution

The fourth proportional to 381,582.74, 526,557.84 and 211,803.50 is: 292,274.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,582.74 : 526,557.84 = 211,803.50 : x
  2. Step 2: Convert to fraction form
    381,582.74/526,557.84 = 211,803.50/x
  3. Step 3: Cross multiply
    381,582.74x = 526,557.84 × 211,803.50
  4. Step 4: Simplify right side
    381,582.74x = 111,526,793,464.44
  5. Step 5: Solve for x
    x = 111,526,793,464.44/381,582.74
  6. Step 6: Final answer
    x = 292,274.21

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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.