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Finding the Fourth Proportional to 519,890.06, 779,900.82 and 178,400

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Solution

The fourth proportional to 519,890.06, 779,900.82 and 178,400 is: 267,622.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,890.06 : 779,900.82 = 178,400 : x
  2. Step 2: Convert to fraction form
    519,890.06/779,900.82 = 178,400/x
  3. Step 3: Cross multiply
    519,890.06x = 779,900.82 × 178,400
  4. Step 4: Simplify right side
    519,890.06x = 139,134,306,288
  5. Step 5: Solve for x
    x = 139,134,306,288/519,890.06
  6. Step 6: Final answer
    x = 267,622.56

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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.