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Finding the Fourth Proportional to 538,276.80, 809,164.80 and 381,590.40

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Solution

The fourth proportional to 538,276.80, 809,164.80 and 381,590.40 is: 573,625.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,276.80 : 809,164.80 = 381,590.40 : x
  2. Step 2: Convert to fraction form
    538,276.80/809,164.80 = 381,590.40/x
  3. Step 3: Cross multiply
    538,276.80x = 809,164.80 × 381,590.40
  4. Step 4: Simplify right side
    538,276.80x = 308,769,519,697.92
  5. Step 5: Solve for x
    x = 308,769,519,697.92/538,276.80
  6. Step 6: Final answer
    x = 573,625.91

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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.