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Finding the Fourth Proportional to 538,976.64, 808,119.36 and 223,651.20

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Solution

The fourth proportional to 538,976.64, 808,119.36 and 223,651.20 is: 335,333.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,976.64 : 808,119.36 = 223,651.20 : x
  2. Step 2: Convert to fraction form
    538,976.64/808,119.36 = 223,651.20/x
  3. Step 3: Cross multiply
    538,976.64x = 808,119.36 × 223,651.20
  4. Step 4: Simplify right side
    538,976.64x = 180,736,864,607.23
  5. Step 5: Solve for x
    x = 180,736,864,607.23/538,976.64
  6. Step 6: Final answer
    x = 335,333.39

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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.