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Finding the Fourth Proportional to 344,050, 515,942.28 and 133,660.24

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Solution

The fourth proportional to 344,050, 515,942.28 and 133,660.24 is: 200,438.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,050 : 515,942.28 = 133,660.24 : x
  2. Step 2: Convert to fraction form
    344,050/515,942.28 = 133,660.24/x
  3. Step 3: Cross multiply
    344,050x = 515,942.28 × 133,660.24
  4. Step 4: Simplify right side
    344,050x = 68,960,968,970.95
  5. Step 5: Solve for x
    x = 68,960,968,970.95/344,050
  6. Step 6: Final answer
    x = 200,438.80

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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.