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Finding the Fourth Proportional to 505,772.88, 698,039.67 and 301,832.40

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Solution

The fourth proportional to 505,772.88, 698,039.67 and 301,832.40 is: 416,572.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,772.88 : 698,039.67 = 301,832.40 : x
  2. Step 2: Convert to fraction form
    505,772.88/698,039.67 = 301,832.40/x
  3. Step 3: Cross multiply
    505,772.88x = 698,039.67 × 301,832.40
  4. Step 4: Simplify right side
    505,772.88x = 210,690,988,891.31
  5. Step 5: Solve for x
    x = 210,690,988,891.31/505,772.88
  6. Step 6: Final answer
    x = 416,572.33

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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.