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Finding the Fourth Proportional to 499,419.80, 749,129.70 and 200,043.80

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Solution

The fourth proportional to 499,419.80, 749,129.70 and 200,043.80 is: 300,065.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,419.80 : 749,129.70 = 200,043.80 : x
  2. Step 2: Convert to fraction form
    499,419.80/749,129.70 = 200,043.80/x
  3. Step 3: Cross multiply
    499,419.80x = 749,129.70 × 200,043.80
  4. Step 4: Simplify right side
    499,419.80x = 149,858,751,880.86
  5. Step 5: Solve for x
    x = 149,858,751,880.86/499,419.80
  6. Step 6: Final answer
    x = 300,065.70

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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.