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Finding the Fourth Proportional to 478,163.70, 659,840.13 and 274,223.22

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Solution

The fourth proportional to 478,163.70, 659,840.13 and 274,223.22 is: 378,413.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,163.70 : 659,840.13 = 274,223.22 : x
  2. Step 2: Convert to fraction form
    478,163.70/659,840.13 = 274,223.22/x
  3. Step 3: Cross multiply
    478,163.70x = 659,840.13 × 274,223.22
  4. Step 4: Simplify right side
    478,163.70x = 180,943,485,133.82
  5. Step 5: Solve for x
    x = 180,943,485,133.82/478,163.70
  6. Step 6: Final answer
    x = 378,413.26

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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.