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Finding the Fourth Proportional to 392,830.68, 589,504.26 and 215,462

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Solution

The fourth proportional to 392,830.68, 589,504.26 and 215,462 is: 323,334.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,830.68 : 589,504.26 = 215,462 : x
  2. Step 2: Convert to fraction form
    392,830.68/589,504.26 = 215,462/x
  3. Step 3: Cross multiply
    392,830.68x = 589,504.26 × 215,462
  4. Step 4: Simplify right side
    392,830.68x = 127,015,766,868.12
  5. Step 5: Solve for x
    x = 127,015,766,868.12/392,830.68
  6. Step 6: Final answer
    x = 323,334.64

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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.