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Finding the Fourth Proportional to 305,463.72, 458,261.82 and 127,879.32

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Solution

The fourth proportional to 305,463.72, 458,261.82 and 127,879.32 is: 191,846.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,463.72 : 458,261.82 = 127,879.32 : x
  2. Step 2: Convert to fraction form
    305,463.72/458,261.82 = 127,879.32/x
  3. Step 3: Cross multiply
    305,463.72x = 458,261.82 × 127,879.32
  4. Step 4: Simplify right side
    305,463.72x = 58,602,209,923.56
  5. Step 5: Solve for x
    x = 58,602,209,923.56/305,463.72
  6. Step 6: Final answer
    x = 191,846.71

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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.