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Finding the Fourth Proportional to 386,739.85, 533,692.94 and 214,647.71

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Solution

The fourth proportional to 386,739.85, 533,692.94 and 214,647.71 is: 296,209.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,739.85 : 533,692.94 = 214,647.71 : x
  2. Step 2: Convert to fraction form
    386,739.85/533,692.94 = 214,647.71/x
  3. Step 3: Cross multiply
    386,739.85x = 533,692.94 × 214,647.71
  4. Step 4: Simplify right side
    386,739.85x = 114,555,967,414.17
  5. Step 5: Solve for x
    x = 114,555,967,414.17/386,739.85
  6. Step 6: Final answer
    x = 296,209.37

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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.