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Finding the Fourth Proportional to 385,259.45, 577,745.49 and 132,468.44

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Solution

The fourth proportional to 385,259.45, 577,745.49 and 132,468.44 is: 198,653.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,259.45 : 577,745.49 = 132,468.44 : x
  2. Step 2: Convert to fraction form
    385,259.45/577,745.49 = 132,468.44/x
  3. Step 3: Cross multiply
    385,259.45x = 577,745.49 × 132,468.44
  4. Step 4: Simplify right side
    385,259.45x = 76,533,043,777.34
  5. Step 5: Solve for x
    x = 76,533,043,777.34/385,259.45
  6. Step 6: Final answer
    x = 198,653.26

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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.