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Finding the Fourth Proportional to 315,235.56, 472,991.96 and 165,440.75

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Solution

The fourth proportional to 315,235.56, 472,991.96 and 165,440.75 is: 248,233.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,235.56 : 472,991.96 = 165,440.75 : x
  2. Step 2: Convert to fraction form
    315,235.56/472,991.96 = 165,440.75/x
  3. Step 3: Cross multiply
    315,235.56x = 472,991.96 × 165,440.75
  4. Step 4: Simplify right side
    315,235.56x = 78,252,144,606.37
  5. Step 5: Solve for x
    x = 78,252,144,606.37/315,235.56
  6. Step 6: Final answer
    x = 248,233.88

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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.