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Finding the Fourth Proportional to 415,237.60, 621,819.60 and 274,232.80

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Solution

The fourth proportional to 415,237.60, 621,819.60 and 274,232.80 is: 410,664.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,237.60 : 621,819.60 = 274,232.80 : x
  2. Step 2: Convert to fraction form
    415,237.60/621,819.60 = 274,232.80/x
  3. Step 3: Cross multiply
    415,237.60x = 621,819.60 × 274,232.80
  4. Step 4: Simplify right side
    415,237.60x = 170,523,330,002.88
  5. Step 5: Solve for x
    x = 170,523,330,002.88/415,237.60
  6. Step 6: Final answer
    x = 410,664.47

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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.