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Finding the Fourth Proportional to 492,123, 679,129.80 and 265,768.50

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Solution

The fourth proportional to 492,123, 679,129.80 and 265,768.50 is: 366,760.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,123 : 679,129.80 = 265,768.50 : x
  2. Step 2: Convert to fraction form
    492,123/679,129.80 = 265,768.50/x
  3. Step 3: Cross multiply
    492,123x = 679,129.80 × 265,768.50
  4. Step 4: Simplify right side
    492,123x = 180,491,308,251.30
  5. Step 5: Solve for x
    x = 180,491,308,251.30/492,123
  6. Step 6: Final answer
    x = 366,760.56

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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.