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Finding the Fourth Proportional to 538,243.80, 806,369.40 and 313,711.80

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Solution

The fourth proportional to 538,243.80, 806,369.40 and 313,711.80 is: 469,987.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,243.80 : 806,369.40 = 313,711.80 : x
  2. Step 2: Convert to fraction form
    538,243.80/806,369.40 = 313,711.80/x
  3. Step 3: Cross multiply
    538,243.80x = 806,369.40 × 313,711.80
  4. Step 4: Simplify right side
    538,243.80x = 252,967,595,938.92
  5. Step 5: Solve for x
    x = 252,967,595,938.92/538,243.80
  6. Step 6: Final answer
    x = 469,987.01

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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.