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Finding the Fourth Proportional to 317,640.98, 476,334.30 and 140,021.76

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Solution

The fourth proportional to 317,640.98, 476,334.30 and 140,021.76 is: 209,976.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,640.98 : 476,334.30 = 140,021.76 : x
  2. Step 2: Convert to fraction form
    317,640.98/476,334.30 = 140,021.76/x
  3. Step 3: Cross multiply
    317,640.98x = 476,334.30 × 140,021.76
  4. Step 4: Simplify right side
    317,640.98x = 66,697,167,034.37
  5. Step 5: Solve for x
    x = 66,697,167,034.37/317,640.98
  6. Step 6: Final answer
    x = 209,976.58

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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.