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Finding the Fourth Proportional to 569,412, 785,797.90 and 339,989.33

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Solution

The fourth proportional to 569,412, 785,797.90 and 339,989.33 is: 469,190.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,412 : 785,797.90 = 339,989.33 : x
  2. Step 2: Convert to fraction form
    569,412/785,797.90 = 339,989.33/x
  3. Step 3: Cross multiply
    569,412x = 785,797.90 × 339,989.33
  4. Step 4: Simplify right side
    569,412x = 267,162,901,536.41
  5. Step 5: Solve for x
    x = 267,162,901,536.41/569,412
  6. Step 6: Final answer
    x = 469,190.85

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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.