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Finding the Fourth Proportional to 392,605.30, 587,745.42 and 242,362.50

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Solution

The fourth proportional to 392,605.30, 587,745.42 and 242,362.50 is: 362,826.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,605.30 : 587,745.42 = 242,362.50 : x
  2. Step 2: Convert to fraction form
    392,605.30/587,745.42 = 242,362.50/x
  3. Step 3: Cross multiply
    392,605.30x = 587,745.42 × 242,362.50
  4. Step 4: Simplify right side
    392,605.30x = 142,447,449,354.75
  5. Step 5: Solve for x
    x = 142,447,449,354.75/392,605.30
  6. Step 6: Final answer
    x = 362,826.10

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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.