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Finding the Fourth Proportional to 449,849.60, 674,774.40 and 415,635.20

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Solution

The fourth proportional to 449,849.60, 674,774.40 and 415,635.20 is: 623,452.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,849.60 : 674,774.40 = 415,635.20 : x
  2. Step 2: Convert to fraction form
    449,849.60/674,774.40 = 415,635.20/x
  3. Step 3: Cross multiply
    449,849.60x = 674,774.40 × 415,635.20
  4. Step 4: Simplify right side
    449,849.60x = 280,459,992,698.88
  5. Step 5: Solve for x
    x = 280,459,992,698.88/449,849.60
  6. Step 6: Final answer
    x = 623,452.80

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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.