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Finding the Fourth Proportional to 360,993.12, 498,222.64 and 208,002.02

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Solution

The fourth proportional to 360,993.12, 498,222.64 and 208,002.02 is: 287,072.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,993.12 : 498,222.64 = 208,002.02 : x
  2. Step 2: Convert to fraction form
    360,993.12/498,222.64 = 208,002.02/x
  3. Step 3: Cross multiply
    360,993.12x = 498,222.64 × 208,002.02
  4. Step 4: Simplify right side
    360,993.12x = 103,631,315,529.73
  5. Step 5: Solve for x
    x = 103,631,315,529.73/360,993.12
  6. Step 6: Final answer
    x = 287,072.83

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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.