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Finding the Fourth Proportional to 505,768.82, 698,009.22 and 276,360.98

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Solution

The fourth proportional to 505,768.82, 698,009.22 and 276,360.98 is: 381,404.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,768.82 : 698,009.22 = 276,360.98 : x
  2. Step 2: Convert to fraction form
    505,768.82/698,009.22 = 276,360.98/x
  3. Step 3: Cross multiply
    505,768.82x = 698,009.22 × 276,360.98
  4. Step 4: Simplify right side
    505,768.82x = 192,902,512,088.24
  5. Step 5: Solve for x
    x = 192,902,512,088.24/505,768.82
  6. Step 6: Final answer
    x = 381,404.52

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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.