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Finding the Fourth Proportional to 320,279.40, 480,200.40 and 151,880.40

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Solution

The fourth proportional to 320,279.40, 480,200.40 and 151,880.40 is: 227,716.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,279.40 : 480,200.40 = 151,880.40 : x
  2. Step 2: Convert to fraction form
    320,279.40/480,200.40 = 151,880.40/x
  3. Step 3: Cross multiply
    320,279.40x = 480,200.40 × 151,880.40
  4. Step 4: Simplify right side
    320,279.40x = 72,933,028,832.16
  5. Step 5: Solve for x
    x = 72,933,028,832.16/320,279.40
  6. Step 6: Final answer
    x = 227,716.89

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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.