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Finding the Fourth Proportional to 505,774.10, 698,067.89 and 301,722.89

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Solution

The fourth proportional to 505,774.10, 698,067.89 and 301,722.89 is: 416,437.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,774.10 : 698,067.89 = 301,722.89 : x
  2. Step 2: Convert to fraction form
    505,774.10/698,067.89 = 301,722.89/x
  3. Step 3: Cross multiply
    505,774.10x = 698,067.89 × 301,722.89
  4. Step 4: Simplify right side
    505,774.10x = 210,623,056,188.05
  5. Step 5: Solve for x
    x = 210,623,056,188.05/505,774.10
  6. Step 6: Final answer
    x = 416,437.02

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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.