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Finding the Fourth Proportional to 274,235.34, 411,279.20 and 96,719.28

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Solution

The fourth proportional to 274,235.34, 411,279.20 and 96,719.28 is: 145,052.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,235.34 : 411,279.20 = 96,719.28 : x
  2. Step 2: Convert to fraction form
    274,235.34/411,279.20 = 96,719.28/x
  3. Step 3: Cross multiply
    274,235.34x = 411,279.20 × 96,719.28
  4. Step 4: Simplify right side
    274,235.34x = 39,778,628,102.98
  5. Step 5: Solve for x
    x = 39,778,628,102.98/274,235.34
  6. Step 6: Final answer
    x = 145,052.89

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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.