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Finding the Fourth Proportional to 305,768.51, 458,707.86 and 125,822.15

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Solution

The fourth proportional to 305,768.51, 458,707.86 and 125,822.15 is: 188,755.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,768.51 : 458,707.86 = 125,822.15 : x
  2. Step 2: Convert to fraction form
    305,768.51/458,707.86 = 125,822.15/x
  3. Step 3: Cross multiply
    305,768.51x = 458,707.86 × 125,822.15
  4. Step 4: Simplify right side
    305,768.51x = 57,715,606,873.56
  5. Step 5: Solve for x
    x = 57,715,606,873.56/305,768.51
  6. Step 6: Final answer
    x = 188,755.89

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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.