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Finding the Fourth Proportional to 312,977.36, 431,908.96 and 169,737.36

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Solution

The fourth proportional to 312,977.36, 431,908.96 and 169,737.36 is: 234,237.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,977.36 : 431,908.96 = 169,737.36 : x
  2. Step 2: Convert to fraction form
    312,977.36/431,908.96 = 169,737.36/x
  3. Step 3: Cross multiply
    312,977.36x = 431,908.96 × 169,737.36
  4. Step 4: Simplify right side
    312,977.36x = 73,311,086,630.75
  5. Step 5: Solve for x
    x = 73,311,086,630.75/312,977.36
  6. Step 6: Final answer
    x = 234,237.67

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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.