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Finding the Fourth Proportional to 392,930.15, 589,399.34 and 314,542.67

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Solution

The fourth proportional to 392,930.15, 589,399.34 and 314,542.67 is: 471,817.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,930.15 : 589,399.34 = 314,542.67 : x
  2. Step 2: Convert to fraction form
    392,930.15/589,399.34 = 314,542.67/x
  3. Step 3: Cross multiply
    392,930.15x = 589,399.34 × 314,542.67
  4. Step 4: Simplify right side
    392,930.15x = 185,391,242,099.84
  5. Step 5: Solve for x
    x = 185,391,242,099.84/392,930.15
  6. Step 6: Final answer
    x = 471,817.30

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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.