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Finding the Fourth Proportional to 306,098.20, 459,147.30 and 128,546.20

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Solution

The fourth proportional to 306,098.20, 459,147.30 and 128,546.20 is: 192,819.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,098.20 : 459,147.30 = 128,546.20 : x
  2. Step 2: Convert to fraction form
    306,098.20/459,147.30 = 128,546.20/x
  3. Step 3: Cross multiply
    306,098.20x = 459,147.30 × 128,546.20
  4. Step 4: Simplify right side
    306,098.20x = 59,021,640,655.26
  5. Step 5: Solve for x
    x = 59,021,640,655.26/306,098.20
  6. Step 6: Final answer
    x = 192,819.30

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Similar ratio
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1.5x scale

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.