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Finding the Fourth Proportional to 340,086.40, 509,692.20 and 206,825.20

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Solution

The fourth proportional to 340,086.40, 509,692.20 and 206,825.20 is: 309,971.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,086.40 : 509,692.20 = 206,825.20 : x
  2. Step 2: Convert to fraction form
    340,086.40/509,692.20 = 206,825.20/x
  3. Step 3: Cross multiply
    340,086.40x = 509,692.20 × 206,825.20
  4. Step 4: Simplify right side
    340,086.40x = 105,417,191,203.44
  5. Step 5: Solve for x
    x = 105,417,191,203.44/340,086.40
  6. Step 6: Final answer
    x = 309,971.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.