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Finding the Fourth Proportional to 328,093.80, 492,140.70 and 78,775.80

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Solution

The fourth proportional to 328,093.80, 492,140.70 and 78,775.80 is: 118,163.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,093.80 : 492,140.70 = 78,775.80 : x
  2. Step 2: Convert to fraction form
    328,093.80/492,140.70 = 78,775.80/x
  3. Step 3: Cross multiply
    328,093.80x = 492,140.70 × 78,775.80
  4. Step 4: Simplify right side
    328,093.80x = 38,768,777,355.06
  5. Step 5: Solve for x
    x = 38,768,777,355.06/328,093.80
  6. Step 6: Final answer
    x = 118,163.70

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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.