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Finding the Fourth Proportional to 392,300.40, 589,141.80 and 303,769.20

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Solution

The fourth proportional to 392,300.40, 589,141.80 and 303,769.20 is: 456,189.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,300.40 : 589,141.80 = 303,769.20 : x
  2. Step 2: Convert to fraction form
    392,300.40/589,141.80 = 303,769.20/x
  3. Step 3: Cross multiply
    392,300.40x = 589,141.80 × 303,769.20
  4. Step 4: Simplify right side
    392,300.40x = 178,963,133,272.56
  5. Step 5: Solve for x
    x = 178,963,133,272.56/392,300.40
  6. Step 6: Final answer
    x = 456,189.02

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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.