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Finding the Fourth Proportional to 392,486.40, 588,729.60 and 345,830.40

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Solution

The fourth proportional to 392,486.40, 588,729.60 and 345,830.40 is: 518,745.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,486.40 : 588,729.60 = 345,830.40 : x
  2. Step 2: Convert to fraction form
    392,486.40/588,729.60 = 345,830.40/x
  3. Step 3: Cross multiply
    392,486.40x = 588,729.60 × 345,830.40
  4. Step 4: Simplify right side
    392,486.40x = 203,600,593,059.84
  5. Step 5: Solve for x
    x = 203,600,593,059.84/392,486.40
  6. Step 6: Final answer
    x = 518,745.60

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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.