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Finding the Fourth Proportional to 499,475, 749,213.22 and 203,987

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Solution

The fourth proportional to 499,475, 749,213.22 and 203,987 is: 305,980.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,475 : 749,213.22 = 203,987 : x
  2. Step 2: Convert to fraction form
    499,475/749,213.22 = 203,987/x
  3. Step 3: Cross multiply
    499,475x = 749,213.22 × 203,987
  4. Step 4: Simplify right side
    499,475x = 152,829,757,108.14
  5. Step 5: Solve for x
    x = 152,829,757,108.14/499,475
  6. Step 6: Final answer
    x = 305,980.79

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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.