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Finding the Fourth Proportional to 643,004.21, 964,309.31 and 444,599.57

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Solution

The fourth proportional to 643,004.21, 964,309.31 and 444,599.57 is: 666,763.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,004.21 : 964,309.31 = 444,599.57 : x
  2. Step 2: Convert to fraction form
    643,004.21/964,309.31 = 444,599.57/x
  3. Step 3: Cross multiply
    643,004.21x = 964,309.31 × 444,599.57
  4. Step 4: Simplify right side
    643,004.21x = 428,731,500,862.95
  5. Step 5: Solve for x
    x = 428,731,500,862.95/643,004.21
  6. Step 6: Final answer
    x = 666,763.14

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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.