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Finding the Fourth Proportional to 300,819.12, 415,130 and 164,861.60

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Solution

The fourth proportional to 300,819.12, 415,130 and 164,861.60 is: 227,508.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,819.12 : 415,130 = 164,861.60 : x
  2. Step 2: Convert to fraction form
    300,819.12/415,130 = 164,861.60/x
  3. Step 3: Cross multiply
    300,819.12x = 415,130 × 164,861.60
  4. Step 4: Simplify right side
    300,819.12x = 68,438,996,008
  5. Step 5: Solve for x
    x = 68,438,996,008/300,819.12
  6. Step 6: Final answer
    x = 227,508.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.