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Finding the Fourth Proportional to 306,232.96, 422,552.64 and 185,353.60

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Solution

The fourth proportional to 306,232.96, 422,552.64 and 185,353.60 is: 255,758.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,232.96 : 422,552.64 = 185,353.60 : x
  2. Step 2: Convert to fraction form
    306,232.96/422,552.64 = 185,353.60/x
  3. Step 3: Cross multiply
    306,232.96x = 422,552.64 × 185,353.60
  4. Step 4: Simplify right side
    306,232.96x = 78,321,653,013.50
  5. Step 5: Solve for x
    x = 78,321,653,013.50/306,232.96
  6. Step 6: Final answer
    x = 255,758.40

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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.