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Finding the Fourth Proportional to 680,969.90, 1,019,899.65 and 401,033.90

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Solution

The fourth proportional to 680,969.90, 1,019,899.65 and 401,033.90 is: 600,634.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,969.90 : 1,019,899.65 = 401,033.90 : x
  2. Step 2: Convert to fraction form
    680,969.90/1,019,899.65 = 401,033.90/x
  3. Step 3: Cross multiply
    680,969.90x = 1,019,899.65 × 401,033.90
  4. Step 4: Simplify right side
    680,969.90x = 409,014,334,248.14
  5. Step 5: Solve for x
    x = 409,014,334,248.14/680,969.90
  6. Step 6: Final answer
    x = 600,634.97

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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.