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Finding the Fourth Proportional to 499,431, 749,147.22 and 203,943

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Solution

The fourth proportional to 499,431, 749,147.22 and 203,943 is: 305,914.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,431 : 749,147.22 = 203,943 : x
  2. Step 2: Convert to fraction form
    499,431/749,147.22 = 203,943/x
  3. Step 3: Cross multiply
    499,431x = 749,147.22 × 203,943
  4. Step 4: Simplify right side
    499,431x = 152,783,331,488.46
  5. Step 5: Solve for x
    x = 152,783,331,488.46/499,431
  6. Step 6: Final answer
    x = 305,914.79

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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.