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Finding the Fourth Proportional to 458,081.47, 687,169.28 and 158,561.56

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Solution

The fourth proportional to 458,081.47, 687,169.28 and 158,561.56 is: 237,858.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,081.47 : 687,169.28 = 158,561.56 : x
  2. Step 2: Convert to fraction form
    458,081.47/687,169.28 = 158,561.56/x
  3. Step 3: Cross multiply
    458,081.47x = 687,169.28 × 158,561.56
  4. Step 4: Simplify right side
    458,081.47x = 108,958,633,020.88
  5. Step 5: Solve for x
    x = 108,958,633,020.88/458,081.47
  6. Step 6: Final answer
    x = 237,858.63

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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.