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Finding the Fourth Proportional to 439,764.80, 659,647.20 and 413,520.80

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Solution

The fourth proportional to 439,764.80, 659,647.20 and 413,520.80 is: 620,281.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,764.80 : 659,647.20 = 413,520.80 : x
  2. Step 2: Convert to fraction form
    439,764.80/659,647.20 = 413,520.80/x
  3. Step 3: Cross multiply
    439,764.80x = 659,647.20 × 413,520.80
  4. Step 4: Simplify right side
    439,764.80x = 272,777,837,861.76
  5. Step 5: Solve for x
    x = 272,777,837,861.76/439,764.80
  6. Step 6: Final answer
    x = 620,281.20

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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.