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Finding the Fourth Proportional to 490,362, 735,543 and 157,938

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Solution

The fourth proportional to 490,362, 735,543 and 157,938 is: 236,907

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,362 : 735,543 = 157,938 : x
  2. Step 2: Convert to fraction form
    490,362/735,543 = 157,938/x
  3. Step 3: Cross multiply
    490,362x = 735,543 × 157,938
  4. Step 4: Simplify right side
    490,362x = 116,170,190,334
  5. Step 5: Solve for x
    x = 116,170,190,334/490,362
  6. Step 6: Final answer
    x = 236,907

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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.