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Finding the Fourth Proportional to 402,218.55, 603,318.60 and 202,485.30

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Solution

The fourth proportional to 402,218.55, 603,318.60 and 202,485.30 is: 303,723.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,218.55 : 603,318.60 = 202,485.30 : x
  2. Step 2: Convert to fraction form
    402,218.55/603,318.60 = 202,485.30/x
  3. Step 3: Cross multiply
    402,218.55x = 603,318.60 × 202,485.30
  4. Step 4: Simplify right side
    402,218.55x = 122,163,147,716.58
  5. Step 5: Solve for x
    x = 122,163,147,716.58/402,218.55
  6. Step 6: Final answer
    x = 303,723.31

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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.