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Finding the Fourth Proportional to 384,840.40, 576,871.80 and 174,629.20

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Solution

The fourth proportional to 384,840.40, 576,871.80 and 174,629.20 is: 261,767.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,840.40 : 576,871.80 = 174,629.20 : x
  2. Step 2: Convert to fraction form
    384,840.40/576,871.80 = 174,629.20/x
  3. Step 3: Cross multiply
    384,840.40x = 576,871.80 × 174,629.20
  4. Step 4: Simplify right side
    384,840.40x = 100,738,660,936.56
  5. Step 5: Solve for x
    x = 100,738,660,936.56/384,840.40
  6. Step 6: Final answer
    x = 261,767.37

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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.