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Finding the Fourth Proportional to 465,806.34, 642,777.35 and 261,824.85

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Solution

The fourth proportional to 465,806.34, 642,777.35 and 261,824.85 is: 361,298.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,806.34 : 642,777.35 = 261,824.85 : x
  2. Step 2: Convert to fraction form
    465,806.34/642,777.35 = 261,824.85/x
  3. Step 3: Cross multiply
    465,806.34x = 642,777.35 × 261,824.85
  4. Step 4: Simplify right side
    465,806.34x = 168,295,081,938.02
  5. Step 5: Solve for x
    x = 168,295,081,938.02/465,806.34
  6. Step 6: Final answer
    x = 361,298.39

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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.