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Finding the Fourth Proportional to 402,208.20, 603,485.10 and 205,216.20

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Solution

The fourth proportional to 402,208.20, 603,485.10 and 205,216.20 is: 307,912.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,208.20 : 603,485.10 = 205,216.20 : x
  2. Step 2: Convert to fraction form
    402,208.20/603,485.10 = 205,216.20/x
  3. Step 3: Cross multiply
    402,208.20x = 603,485.10 × 205,216.20
  4. Step 4: Simplify right side
    402,208.20x = 123,844,918,978.62
  5. Step 5: Solve for x
    x = 123,844,918,978.62/402,208.20
  6. Step 6: Final answer
    x = 307,912.47

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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.