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Finding the Fourth Proportional to 505,062.56, 697,105.62 and 290,327.20

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Solution

The fourth proportional to 505,062.56, 697,105.62 and 290,327.20 is: 400,720.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,062.56 : 697,105.62 = 290,327.20 : x
  2. Step 2: Convert to fraction form
    505,062.56/697,105.62 = 290,327.20/x
  3. Step 3: Cross multiply
    505,062.56x = 697,105.62 × 290,327.20
  4. Step 4: Simplify right side
    505,062.56x = 202,388,722,758.86
  5. Step 5: Solve for x
    x = 202,388,722,758.86/505,062.56
  6. Step 6: Final answer
    x = 400,720.11

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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.