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Finding the Fourth Proportional to 490,364, 735,546 and 157,940

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Solution

The fourth proportional to 490,364, 735,546 and 157,940 is: 236,910

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,364 : 735,546 = 157,940 : x
  2. Step 2: Convert to fraction form
    490,364/735,546 = 157,940/x
  3. Step 3: Cross multiply
    490,364x = 735,546 × 157,940
  4. Step 4: Simplify right side
    490,364x = 116,172,135,240
  5. Step 5: Solve for x
    x = 116,172,135,240/490,364
  6. Step 6: Final answer
    x = 236,910

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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.