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Finding the Fourth Proportional to 392,954.20, 589,085.70 and 235,245.40

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Solution

The fourth proportional to 392,954.20, 589,085.70 and 235,245.40 is: 352,661.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,954.20 : 589,085.70 = 235,245.40 : x
  2. Step 2: Convert to fraction form
    392,954.20/589,085.70 = 235,245.40/x
  3. Step 3: Cross multiply
    392,954.20x = 589,085.70 × 235,245.40
  4. Step 4: Simplify right side
    392,954.20x = 138,579,701,130.78
  5. Step 5: Solve for x
    x = 138,579,701,130.78/392,954.20
  6. Step 6: Final answer
    x = 352,661.20

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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.