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Finding the Fourth Proportional to 380,644.50, 525,251.20 and 227,652

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Solution

The fourth proportional to 380,644.50, 525,251.20 and 227,652 is: 314,136.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,644.50 : 525,251.20 = 227,652 : x
  2. Step 2: Convert to fraction form
    380,644.50/525,251.20 = 227,652/x
  3. Step 3: Cross multiply
    380,644.50x = 525,251.20 × 227,652
  4. Step 4: Simplify right side
    380,644.50x = 119,574,486,182.40
  5. Step 5: Solve for x
    x = 119,574,486,182.40/380,644.50
  6. Step 6: Final answer
    x = 314,136.91

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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.