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Finding the Fourth Proportional to 328,123.86, 492,237.42 and 114,956.97

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Solution

The fourth proportional to 328,123.86, 492,237.42 and 114,956.97 is: 172,453.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,123.86 : 492,237.42 = 114,956.97 : x
  2. Step 2: Convert to fraction form
    328,123.86/492,237.42 = 114,956.97/x
  3. Step 3: Cross multiply
    328,123.86x = 492,237.42 × 114,956.97
  4. Step 4: Simplify right side
    328,123.86x = 56,586,122,323.82
  5. Step 5: Solve for x
    x = 56,586,122,323.82/328,123.86
  6. Step 6: Final answer
    x = 172,453.54

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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.