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Finding the Fourth Proportional to 538,255.80, 806,387.40 and 313,723.80

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Solution

The fourth proportional to 538,255.80, 806,387.40 and 313,723.80 is: 470,005.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,255.80 : 806,387.40 = 313,723.80 : x
  2. Step 2: Convert to fraction form
    538,255.80/806,387.40 = 313,723.80/x
  3. Step 3: Cross multiply
    538,255.80x = 806,387.40 × 313,723.80
  4. Step 4: Simplify right side
    538,255.80x = 252,982,919,400.12
  5. Step 5: Solve for x
    x = 252,982,919,400.12/538,255.80
  6. Step 6: Final answer
    x = 470,005.00

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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.