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Finding the Fourth Proportional to 469,432.96, 647,806.08 and 268,216

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Solution

The fourth proportional to 469,432.96, 647,806.08 and 268,216 is: 370,131.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,432.96 : 647,806.08 = 268,216 : x
  2. Step 2: Convert to fraction form
    469,432.96/647,806.08 = 268,216/x
  3. Step 3: Cross multiply
    469,432.96x = 647,806.08 × 268,216
  4. Step 4: Simplify right side
    469,432.96x = 173,751,955,553.28
  5. Step 5: Solve for x
    x = 173,751,955,553.28/469,432.96
  6. Step 6: Final answer
    x = 370,131.56

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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.