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Finding the Fourth Proportional to 381,415.21, 526,359.67 and 209,349.27

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Solution

The fourth proportional to 381,415.21, 526,359.67 and 209,349.27 is: 288,905.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,415.21 : 526,359.67 = 209,349.27 : x
  2. Step 2: Convert to fraction form
    381,415.21/526,359.67 = 209,349.27/x
  3. Step 3: Cross multiply
    381,415.21x = 526,359.67 × 209,349.27
  4. Step 4: Simplify right side
    381,415.21x = 110,193,012,148.57
  5. Step 5: Solve for x
    x = 110,193,012,148.57/381,415.21
  6. Step 6: Final answer
    x = 288,905.66

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1.5x scale

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.