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Finding the Fourth Proportional to 505,575.78, 698,010.12 and 321,918

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Solution

The fourth proportional to 505,575.78, 698,010.12 and 321,918 is: 444,447.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,575.78 : 698,010.12 = 321,918 : x
  2. Step 2: Convert to fraction form
    505,575.78/698,010.12 = 321,918/x
  3. Step 3: Cross multiply
    505,575.78x = 698,010.12 × 321,918
  4. Step 4: Simplify right side
    505,575.78x = 224,702,021,810.16
  5. Step 5: Solve for x
    x = 224,702,021,810.16/505,575.78
  6. Step 6: Final answer
    x = 444,447.76

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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.