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Finding the Fourth Proportional to 538,288.80, 809,182.80 and 381,602.40

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Solution

The fourth proportional to 538,288.80, 809,182.80 and 381,602.40 is: 573,643.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,288.80 : 809,182.80 = 381,602.40 : x
  2. Step 2: Convert to fraction form
    538,288.80/809,182.80 = 381,602.40/x
  3. Step 3: Cross multiply
    538,288.80x = 809,182.80 × 381,602.40
  4. Step 4: Simplify right side
    538,288.80x = 308,786,098,518.72
  5. Step 5: Solve for x
    x = 308,786,098,518.72/538,288.80
  6. Step 6: Final answer
    x = 573,643.92

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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.