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Finding the Fourth Proportional to 328,180.58, 492,270.82 and 78,862.58

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Solution

The fourth proportional to 328,180.58, 492,270.82 and 78,862.58 is: 118,293.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,180.58 : 492,270.82 = 78,862.58 : x
  2. Step 2: Convert to fraction form
    328,180.58/492,270.82 = 78,862.58/x
  3. Step 3: Cross multiply
    328,180.58x = 492,270.82 × 78,862.58
  4. Step 4: Simplify right side
    328,180.58x = 38,821,746,923.92
  5. Step 5: Solve for x
    x = 38,821,746,923.92/328,180.58
  6. Step 6: Final answer
    x = 118,293.86

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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.