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Finding the Fourth Proportional to 522,811.40, 783,180.30 and 311,822.60

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Solution

The fourth proportional to 522,811.40, 783,180.30 and 311,822.60 is: 467,115.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,811.40 : 783,180.30 = 311,822.60 : x
  2. Step 2: Convert to fraction form
    522,811.40/783,180.30 = 311,822.60/x
  3. Step 3: Cross multiply
    522,811.40x = 783,180.30 × 311,822.60
  4. Step 4: Simplify right side
    522,811.40x = 244,213,317,414.78
  5. Step 5: Solve for x
    x = 244,213,317,414.78/522,811.40
  6. Step 6: Final answer
    x = 467,115.52

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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.