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Finding the Fourth Proportional to 458,190, 687,297.96 and 125,766

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Solution

The fourth proportional to 458,190, 687,297.96 and 125,766 is: 188,652.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,190 : 687,297.96 = 125,766 : x
  2. Step 2: Convert to fraction form
    458,190/687,297.96 = 125,766/x
  3. Step 3: Cross multiply
    458,190x = 687,297.96 × 125,766
  4. Step 4: Simplify right side
    458,190x = 86,438,715,237.36
  5. Step 5: Solve for x
    x = 86,438,715,237.36/458,190
  6. Step 6: Final answer
    x = 188,652.56

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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.