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Finding the Fourth Proportional to 478,164.20, 659,840.82 and 274,223.72

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Solution

The fourth proportional to 478,164.20, 659,840.82 and 274,223.72 is: 378,413.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,164.20 : 659,840.82 = 274,223.72 : x
  2. Step 2: Convert to fraction form
    478,164.20/659,840.82 = 274,223.72/x
  3. Step 3: Cross multiply
    478,164.20x = 659,840.82 × 274,223.72
  4. Step 4: Simplify right side
    478,164.20x = 180,944,004,268.25
  5. Step 5: Solve for x
    x = 180,944,004,268.25/478,164.20
  6. Step 6: Final answer
    x = 378,413.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.