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Finding the Fourth Proportional to 538,568.57, 807,165.97 and 285,970.07

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Solution

The fourth proportional to 538,568.57, 807,165.97 and 285,970.07 is: 428,590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,568.57 : 807,165.97 = 285,970.07 : x
  2. Step 2: Convert to fraction form
    538,568.57/807,165.97 = 285,970.07/x
  3. Step 3: Cross multiply
    538,568.57x = 807,165.97 × 285,970.07
  4. Step 4: Simplify right side
    538,568.57x = 230,825,308,942.52
  5. Step 5: Solve for x
    x = 230,825,308,942.52/538,568.57
  6. Step 6: Final answer
    x = 428,590.38

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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.