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Finding the Fourth Proportional to 680,263.98, 1,020,043 and 200,429.49

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Solution

The fourth proportional to 680,263.98, 1,020,043 and 200,429.49 is: 300,540.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,263.98 : 1,020,043 = 200,429.49 : x
  2. Step 2: Convert to fraction form
    680,263.98/1,020,043 = 200,429.49/x
  3. Step 3: Cross multiply
    680,263.98x = 1,020,043 × 200,429.49
  4. Step 4: Simplify right side
    680,263.98x = 204,446,698,268.07
  5. Step 5: Solve for x
    x = 204,446,698,268.07/680,263.98
  6. Step 6: Final answer
    x = 300,540.24

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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.