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Finding the Fourth Proportional to 499,424.80, 749,137.20 and 200,048.80

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Solution

The fourth proportional to 499,424.80, 749,137.20 and 200,048.80 is: 300,073.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,424.80 : 749,137.20 = 200,048.80 : x
  2. Step 2: Convert to fraction form
    499,424.80/749,137.20 = 200,048.80/x
  3. Step 3: Cross multiply
    499,424.80x = 749,137.20 × 200,048.80
  4. Step 4: Simplify right side
    499,424.80x = 149,863,997,895.36
  5. Step 5: Solve for x
    x = 149,863,997,895.36/499,424.80
  6. Step 6: Final answer
    x = 300,073.20

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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.