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Finding the Fourth Proportional to 306,107.25, 459,164.72 and 81,466.30

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Solution

The fourth proportional to 306,107.25, 459,164.72 and 81,466.30 is: 122,200.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,107.25 : 459,164.72 = 81,466.30 : x
  2. Step 2: Convert to fraction form
    306,107.25/459,164.72 = 81,466.30/x
  3. Step 3: Cross multiply
    306,107.25x = 459,164.72 × 81,466.30
  4. Step 4: Simplify right side
    306,107.25x = 37,406,449,273.69
  5. Step 5: Solve for x
    x = 37,406,449,273.69/306,107.25
  6. Step 6: Final answer
    x = 122,200.47

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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.