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Finding the Fourth Proportional to 490,211.57, 735,108.38 and 186,553.91

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Solution

The fourth proportional to 490,211.57, 735,108.38 and 186,553.91 is: 279,751.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,211.57 : 735,108.38 = 186,553.91 : x
  2. Step 2: Convert to fraction form
    490,211.57/735,108.38 = 186,553.91/x
  3. Step 3: Cross multiply
    490,211.57x = 735,108.38 × 186,553.91
  4. Step 4: Simplify right side
    490,211.57x = 137,137,344,167.34
  5. Step 5: Solve for x
    x = 137,137,344,167.34/490,211.57
  6. Step 6: Final answer
    x = 279,751.34

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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.