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Finding the Fourth Proportional to 328,257.56, 492,386.34 and 78,939.56

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Solution

The fourth proportional to 328,257.56, 492,386.34 and 78,939.56 is: 118,409.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,257.56 : 492,386.34 = 78,939.56 : x
  2. Step 2: Convert to fraction form
    328,257.56/492,386.34 = 78,939.56/x
  3. Step 3: Cross multiply
    328,257.56x = 492,386.34 × 78,939.56
  4. Step 4: Simplify right side
    328,257.56x = 38,868,762,556.60
  5. Step 5: Solve for x
    x = 38,868,762,556.60/328,257.56
  6. Step 6: Final answer
    x = 118,409.34

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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.