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Finding the Fourth Proportional to 538,227.56, 807,342.47 and 505,344.65

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Solution

The fourth proportional to 538,227.56, 807,342.47 and 505,344.65 is: 758,018.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,227.56 : 807,342.47 = 505,344.65 : x
  2. Step 2: Convert to fraction form
    538,227.56/807,342.47 = 505,344.65/x
  3. Step 3: Cross multiply
    538,227.56x = 807,342.47 × 505,344.65
  4. Step 4: Simplify right side
    538,227.56x = 407,986,191,368.85
  5. Step 5: Solve for x
    x = 407,986,191,368.85/538,227.56
  6. Step 6: Final answer
    x = 758,018.03

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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.