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Finding the Fourth Proportional to 392,112.40, 585,512.57 and 311,243.08

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Solution

The fourth proportional to 392,112.40, 585,512.57 and 311,243.08 is: 464,756.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,112.40 : 585,512.57 = 311,243.08 : x
  2. Step 2: Convert to fraction form
    392,112.40/585,512.57 = 311,243.08/x
  3. Step 3: Cross multiply
    392,112.40x = 585,512.57 × 311,243.08
  4. Step 4: Simplify right side
    392,112.40x = 182,236,735,665.52
  5. Step 5: Solve for x
    x = 182,236,735,665.52/392,112.40
  6. Step 6: Final answer
    x = 464,756.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.