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Finding the Fourth Proportional to 289,745.56, 434,743.20 and 156,719.48

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Solution

The fourth proportional to 289,745.56, 434,743.20 and 156,719.48 is: 235,146.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,745.56 : 434,743.20 = 156,719.48 : x
  2. Step 2: Convert to fraction form
    289,745.56/434,743.20 = 156,719.48/x
  3. Step 3: Cross multiply
    289,745.56x = 434,743.20 × 156,719.48
  4. Step 4: Simplify right side
    289,745.56x = 68,132,728,237.54
  5. Step 5: Solve for x
    x = 68,132,728,237.54/289,745.56
  6. Step 6: Final answer
    x = 235,146.76

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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.