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Finding the Fourth Proportional to 415,368.37, 624,353.10 and 274,121.31

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Solution

The fourth proportional to 415,368.37, 624,353.10 and 274,121.31 is: 412,040.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,368.37 : 624,353.10 = 274,121.31 : x
  2. Step 2: Convert to fraction form
    415,368.37/624,353.10 = 274,121.31/x
  3. Step 3: Cross multiply
    415,368.37x = 624,353.10 × 274,121.31
  4. Step 4: Simplify right side
    415,368.37x = 171,148,489,674.56
  5. Step 5: Solve for x
    x = 171,148,489,674.56/415,368.37
  6. Step 6: Final answer
    x = 412,040.26

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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.