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Finding the Fourth Proportional to 381,892.80, 573,451.20 and 303,657.60

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Solution

The fourth proportional to 381,892.80, 573,451.20 and 303,657.60 is: 455,973.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,892.80 : 573,451.20 = 303,657.60 : x
  2. Step 2: Convert to fraction form
    381,892.80/573,451.20 = 303,657.60/x
  3. Step 3: Cross multiply
    381,892.80x = 573,451.20 × 303,657.60
  4. Step 4: Simplify right side
    381,892.80x = 174,132,815,109.12
  5. Step 5: Solve for x
    x = 174,132,815,109.12/381,892.80
  6. Step 6: Final answer
    x = 455,973.02

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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.