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Finding the Fourth Proportional to 505,537.44, 758,016.72 and 405,881.60

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Solution

The fourth proportional to 505,537.44, 758,016.72 and 405,881.60 is: 608,590.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,537.44 : 758,016.72 = 405,881.60 : x
  2. Step 2: Convert to fraction form
    505,537.44/758,016.72 = 405,881.60/x
  3. Step 3: Cross multiply
    505,537.44x = 758,016.72 × 405,881.60
  4. Step 4: Simplify right side
    505,537.44x = 307,665,039,140.35
  5. Step 5: Solve for x
    x = 307,665,039,140.35/505,537.44
  6. Step 6: Final answer
    x = 608,590.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.