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Finding the Fourth Proportional to 499,825.80, 749,738.70 and 451,614.60

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Solution

The fourth proportional to 499,825.80, 749,738.70 and 451,614.60 is: 677,421.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,825.80 : 749,738.70 = 451,614.60 : x
  2. Step 2: Convert to fraction form
    499,825.80/749,738.70 = 451,614.60/x
  3. Step 3: Cross multiply
    499,825.80x = 749,738.70 × 451,614.60
  4. Step 4: Simplify right side
    499,825.80x = 338,592,943,105.02
  5. Step 5: Solve for x
    x = 338,592,943,105.02/499,825.80
  6. Step 6: Final answer
    x = 677,421.90

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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.