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Finding the Fourth Proportional to 297,961.60, 446,726.40 and 120,380.80

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Solution

The fourth proportional to 297,961.60, 446,726.40 and 120,380.80 is: 180,483.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,961.60 : 446,726.40 = 120,380.80 : x
  2. Step 2: Convert to fraction form
    297,961.60/446,726.40 = 120,380.80/x
  3. Step 3: Cross multiply
    297,961.60x = 446,726.40 × 120,380.80
  4. Step 4: Simplify right side
    297,961.60x = 53,777,281,413.12
  5. Step 5: Solve for x
    x = 53,777,281,413.12/297,961.60
  6. Step 6: Final answer
    x = 180,483.93

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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.