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Finding the Fourth Proportional to 499,311.23, 748,950.44 and 199,711.35

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Solution

The fourth proportional to 499,311.23, 748,950.44 and 199,711.35 is: 299,560.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,311.23 : 748,950.44 = 199,711.35 : x
  2. Step 2: Convert to fraction form
    499,311.23/748,950.44 = 199,711.35/x
  3. Step 3: Cross multiply
    499,311.23x = 748,950.44 × 199,711.35
  4. Step 4: Simplify right side
    499,311.23x = 149,573,902,456.94
  5. Step 5: Solve for x
    x = 149,573,902,456.94/499,311.23
  6. Step 6: Final answer
    x = 299,560.46

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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.