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Finding the Fourth Proportional to 465,043.82, 641,710.89 and 261,117

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Solution

The fourth proportional to 465,043.82, 641,710.89 and 261,117 is: 360,313.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,043.82 : 641,710.89 = 261,117 : x
  2. Step 2: Convert to fraction form
    465,043.82/641,710.89 = 261,117/x
  3. Step 3: Cross multiply
    465,043.82x = 641,710.89 × 261,117
  4. Step 4: Simplify right side
    465,043.82x = 167,561,622,464.13
  5. Step 5: Solve for x
    x = 167,561,622,464.13/465,043.82
  6. Step 6: Final answer
    x = 360,313.62

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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.