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Finding the Fourth Proportional to 381,315.60, 526,192.20 and 209,198.70

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Solution

The fourth proportional to 381,315.60, 526,192.20 and 209,198.70 is: 288,681.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,315.60 : 526,192.20 = 209,198.70 : x
  2. Step 2: Convert to fraction form
    381,315.60/526,192.20 = 209,198.70/x
  3. Step 3: Cross multiply
    381,315.60x = 526,192.20 × 209,198.70
  4. Step 4: Simplify right side
    381,315.60x = 110,078,724,190.14
  5. Step 5: Solve for x
    x = 110,078,724,190.14/381,315.60
  6. Step 6: Final answer
    x = 288,681.41

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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.