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Finding the Fourth Proportional to 386,120.85, 532,850.31 and 214,040.67

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Solution

The fourth proportional to 386,120.85, 532,850.31 and 214,040.67 is: 295,378.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,120.85 : 532,850.31 = 214,040.67 : x
  2. Step 2: Convert to fraction form
    386,120.85/532,850.31 = 214,040.67/x
  3. Step 3: Cross multiply
    386,120.85x = 532,850.31 × 214,040.67
  4. Step 4: Simplify right side
    386,120.85x = 114,051,637,362.11
  5. Step 5: Solve for x
    x = 114,051,637,362.11/386,120.85
  6. Step 6: Final answer
    x = 295,378.09

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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.