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Finding the Fourth Proportional to 465,808.60, 642,883.80 and 261,876.34

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Solution

The fourth proportional to 465,808.60, 642,883.80 and 261,876.34 is: 361,427.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,808.60 : 642,883.80 = 261,876.34 : x
  2. Step 2: Convert to fraction form
    465,808.60/642,883.80 = 261,876.34/x
  3. Step 3: Cross multiply
    465,808.60x = 642,883.80 × 261,876.34
  4. Step 4: Simplify right side
    465,808.60x = 168,356,056,589.29
  5. Step 5: Solve for x
    x = 168,356,056,589.29/465,808.60
  6. Step 6: Final answer
    x = 361,427.54

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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.