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Finding the Fourth Proportional to 465,809.14, 642,817.38 and 261,871.48

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Solution

The fourth proportional to 465,809.14, 642,817.38 and 261,871.48 is: 361,383.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,809.14 : 642,817.38 = 261,871.48 : x
  2. Step 2: Convert to fraction form
    465,809.14/642,817.38 = 261,871.48/x
  3. Step 3: Cross multiply
    465,809.14x = 642,817.38 × 261,871.48
  4. Step 4: Simplify right side
    465,809.14x = 168,335,538,670.32
  5. Step 5: Solve for x
    x = 168,335,538,670.32/465,809.14
  6. Step 6: Final answer
    x = 361,383.07

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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.