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Finding the Fourth Proportional to 385,406.40, 578,189.38 and 115,523.64

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Solution

The fourth proportional to 385,406.40, 578,189.38 and 115,523.64 is: 173,309.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,406.40 : 578,189.38 = 115,523.64 : x
  2. Step 2: Convert to fraction form
    385,406.40/578,189.38 = 115,523.64/x
  3. Step 3: Cross multiply
    385,406.40x = 578,189.38 × 115,523.64
  4. Step 4: Simplify right side
    385,406.40x = 66,794,541,786.94
  5. Step 5: Solve for x
    x = 66,794,541,786.94/385,406.40
  6. Step 6: Final answer
    x = 173,309.37

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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.