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Finding the Fourth Proportional to 499,821.80, 749,732.70 and 451,610.60

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Solution

The fourth proportional to 499,821.80, 749,732.70 and 451,610.60 is: 677,415.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,821.80 : 749,732.70 = 451,610.60 : x
  2. Step 2: Convert to fraction form
    499,821.80/749,732.70 = 451,610.60/x
  3. Step 3: Cross multiply
    499,821.80x = 749,732.70 × 451,610.60
  4. Step 4: Simplify right side
    499,821.80x = 338,587,234,486.62
  5. Step 5: Solve for x
    x = 338,587,234,486.62/499,821.80
  6. Step 6: Final answer
    x = 677,415.90

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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.