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Finding the Fourth Proportional to 385,027.44, 577,497 and 100,745.46

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Solution

The fourth proportional to 385,027.44, 577,497 and 100,745.46 is: 151,106.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,027.44 : 577,497 = 100,745.46 : x
  2. Step 2: Convert to fraction form
    385,027.44/577,497 = 100,745.46/x
  3. Step 3: Cross multiply
    385,027.44x = 577,497 × 100,745.46
  4. Step 4: Simplify right side
    385,027.44x = 58,180,200,913.62
  5. Step 5: Solve for x
    x = 58,180,200,913.62/385,027.44
  6. Step 6: Final answer
    x = 151,106.64

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1.5x scale

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.