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Finding the Fourth Proportional to 410,708.73, 615,428.10 and 320,537.66

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Solution

The fourth proportional to 410,708.73, 615,428.10 and 320,537.66 is: 480,310.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,708.73 : 615,428.10 = 320,537.66 : x
  2. Step 2: Convert to fraction form
    410,708.73/615,428.10 = 320,537.66/x
  3. Step 3: Cross multiply
    410,708.73x = 615,428.10 × 320,537.66
  4. Step 4: Simplify right side
    410,708.73x = 197,267,880,896.62
  5. Step 5: Solve for x
    x = 197,267,880,896.62/410,708.73
  6. Step 6: Final answer
    x = 480,310.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.