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Finding the Fourth Proportional to 537,995.38, 742,399.41 and 323,144.50

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Solution

The fourth proportional to 537,995.38, 742,399.41 and 323,144.50 is: 445,918.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,995.38 : 742,399.41 = 323,144.50 : x
  2. Step 2: Convert to fraction form
    537,995.38/742,399.41 = 323,144.50/x
  3. Step 3: Cross multiply
    537,995.38x = 742,399.41 × 323,144.50
  4. Step 4: Simplify right side
    537,995.38x = 239,902,286,144.75
  5. Step 5: Solve for x
    x = 239,902,286,144.75/537,995.38
  6. Step 6: Final answer
    x = 445,918.86

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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.