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Finding the Fourth Proportional to 386,121.85, 532,851.69 and 214,041.67

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Solution

The fourth proportional to 386,121.85, 532,851.69 and 214,041.67 is: 295,379.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,121.85 : 532,851.69 = 214,041.67 : x
  2. Step 2: Convert to fraction form
    386,121.85/532,851.69 = 214,041.67/x
  3. Step 3: Cross multiply
    386,121.85x = 532,851.69 × 214,041.67
  4. Step 4: Simplify right side
    386,121.85x = 114,052,465,589.92
  5. Step 5: Solve for x
    x = 114,052,465,589.92/386,121.85
  6. Step 6: Final answer
    x = 295,379.47

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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.