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Finding the Fourth Proportional to 259,287, 388,996.11 and 72,298.50

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Solution

The fourth proportional to 259,287, 388,996.11 and 72,298.50 is: 108,466.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,287 : 388,996.11 = 72,298.50 : x
  2. Step 2: Convert to fraction form
    259,287/388,996.11 = 72,298.50/x
  3. Step 3: Cross multiply
    259,287x = 388,996.11 × 72,298.50
  4. Step 4: Simplify right side
    259,287x = 28,123,835,258.84
  5. Step 5: Solve for x
    x = 28,123,835,258.84/259,287
  6. Step 6: Final answer
    x = 108,466.04

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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.