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Finding the Fourth Proportional to 306,252.56, 422,590.92 and 178,835.60

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Solution

The fourth proportional to 306,252.56, 422,590.92 and 178,835.60 is: 246,771.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,252.56 : 422,590.92 = 178,835.60 : x
  2. Step 2: Convert to fraction form
    306,252.56/422,590.92 = 178,835.60/x
  3. Step 3: Cross multiply
    306,252.56x = 422,590.92 × 178,835.60
  4. Step 4: Simplify right side
    306,252.56x = 75,574,300,732.75
  5. Step 5: Solve for x
    x = 75,574,300,732.75/306,252.56
  6. Step 6: Final answer
    x = 246,771.16

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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.