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Finding the Fourth Proportional to 328,540.16, 492,805.92 and 79,220

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Solution

The fourth proportional to 328,540.16, 492,805.92 and 79,220 is: 118,828.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,540.16 : 492,805.92 = 79,220 : x
  2. Step 2: Convert to fraction form
    328,540.16/492,805.92 = 79,220/x
  3. Step 3: Cross multiply
    328,540.16x = 492,805.92 × 79,220
  4. Step 4: Simplify right side
    328,540.16x = 39,040,084,982.40
  5. Step 5: Solve for x
    x = 39,040,084,982.40/328,540.16
  6. Step 6: Final answer
    x = 118,828.96

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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.