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Finding the Fourth Proportional to 392,069.20, 541,177.32 and 311,639.44

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Solution

The fourth proportional to 392,069.20, 541,177.32 and 311,639.44 is: 430,159.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,069.20 : 541,177.32 = 311,639.44 : x
  2. Step 2: Convert to fraction form
    392,069.20/541,177.32 = 311,639.44/x
  3. Step 3: Cross multiply
    392,069.20x = 541,177.32 × 311,639.44
  4. Step 4: Simplify right side
    392,069.20x = 168,652,196,945.50
  5. Step 5: Solve for x
    x = 168,652,196,945.50/392,069.20
  6. Step 6: Final answer
    x = 430,159.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.