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Finding the Fourth Proportional to 392,681.80, 589,022.70 and 341,360.20

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Solution

The fourth proportional to 392,681.80, 589,022.70 and 341,360.20 is: 512,040.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,681.80 : 589,022.70 = 341,360.20 : x
  2. Step 2: Convert to fraction form
    392,681.80/589,022.70 = 341,360.20/x
  3. Step 3: Cross multiply
    392,681.80x = 589,022.70 × 341,360.20
  4. Step 4: Simplify right side
    392,681.80x = 201,068,906,676.54
  5. Step 5: Solve for x
    x = 201,068,906,676.54/392,681.80
  6. Step 6: Final answer
    x = 512,040.30

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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.