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Finding the Fourth Proportional to 654,059.37, 902,399.08 and 381,930.96

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Solution

The fourth proportional to 654,059.37, 902,399.08 and 381,930.96 is: 526,946.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,059.37 : 902,399.08 = 381,930.96 : x
  2. Step 2: Convert to fraction form
    654,059.37/902,399.08 = 381,930.96/x
  3. Step 3: Cross multiply
    654,059.37x = 902,399.08 × 381,930.96
  4. Step 4: Simplify right side
    654,059.37x = 344,654,146,927.52
  5. Step 5: Solve for x
    x = 344,654,146,927.52/654,059.37
  6. Step 6: Final answer
    x = 526,946.27

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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.