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Finding the Fourth Proportional to 680,965.90, 1,019,893.65 and 401,029.90

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Solution

The fourth proportional to 680,965.90, 1,019,893.65 and 401,029.90 is: 600,628.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,965.90 : 1,019,893.65 = 401,029.90 : x
  2. Step 2: Convert to fraction form
    680,965.90/1,019,893.65 = 401,029.90/x
  3. Step 3: Cross multiply
    680,965.90x = 1,019,893.65 × 401,029.90
  4. Step 4: Simplify right side
    680,965.90x = 409,007,848,470.14
  5. Step 5: Solve for x
    x = 409,007,848,470.14/680,965.90
  6. Step 6: Final answer
    x = 600,628.97

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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.