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Finding the Fourth Proportional to 499,442, 749,163.72 and 203,954

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Solution

The fourth proportional to 499,442, 749,163.72 and 203,954 is: 305,931.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,442 : 749,163.72 = 203,954 : x
  2. Step 2: Convert to fraction form
    499,442/749,163.72 = 203,954/x
  3. Step 3: Cross multiply
    499,442x = 749,163.72 × 203,954
  4. Step 4: Simplify right side
    499,442x = 152,794,937,348.88
  5. Step 5: Solve for x
    x = 152,794,937,348.88/499,442
  6. Step 6: Final answer
    x = 305,931.29

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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.