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Finding the Fourth Proportional to 509,745.40, 764,618.10 and 341,783.80

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Solution

The fourth proportional to 509,745.40, 764,618.10 and 341,783.80 is: 512,675.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,745.40 : 764,618.10 = 341,783.80 : x
  2. Step 2: Convert to fraction form
    509,745.40/764,618.10 = 341,783.80/x
  3. Step 3: Cross multiply
    509,745.40x = 764,618.10 × 341,783.80
  4. Step 4: Simplify right side
    509,745.40x = 261,334,079,766.78
  5. Step 5: Solve for x
    x = 261,334,079,766.78/509,745.40
  6. Step 6: Final answer
    x = 512,675.70

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Similar ratio
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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.