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Finding the Fourth Proportional to 311,622.48, 430,765.48 and 277,964.54

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Solution

The fourth proportional to 311,622.48, 430,765.48 and 277,964.54 is: 384,239.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,622.48 : 430,765.48 = 277,964.54 : x
  2. Step 2: Convert to fraction form
    311,622.48/430,765.48 = 277,964.54/x
  3. Step 3: Cross multiply
    311,622.48x = 430,765.48 × 277,964.54
  4. Step 4: Simplify right side
    311,622.48x = 119,737,528,496.08
  5. Step 5: Solve for x
    x = 119,737,528,496.08/311,622.48
  6. Step 6: Final answer
    x = 384,239.06

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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.