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Finding the Fourth Proportional to 505,313.64, 697,290.89 and 287,464.37

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Solution

The fourth proportional to 505,313.64, 697,290.89 and 287,464.37 is: 396,676.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,313.64 : 697,290.89 = 287,464.37 : x
  2. Step 2: Convert to fraction form
    505,313.64/697,290.89 = 287,464.37/x
  3. Step 3: Cross multiply
    505,313.64x = 697,290.89 × 287,464.37
  4. Step 4: Simplify right side
    505,313.64x = 200,446,281,476.81
  5. Step 5: Solve for x
    x = 200,446,281,476.81/505,313.64
  6. Step 6: Final answer
    x = 396,676.97

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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.