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Finding the Fourth Proportional to 389,226, 537,131.94 and 210,378

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Solution

The fourth proportional to 389,226, 537,131.94 and 210,378 is: 290,321.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,226 : 537,131.94 = 210,378 : x
  2. Step 2: Convert to fraction form
    389,226/537,131.94 = 210,378/x
  3. Step 3: Cross multiply
    389,226x = 537,131.94 × 210,378
  4. Step 4: Simplify right side
    389,226x = 113,000,743,273.32
  5. Step 5: Solve for x
    x = 113,000,743,273.32/389,226
  6. Step 6: Final answer
    x = 290,321.67

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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.