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Finding the Fourth Proportional to 328,179.08, 492,268.57 and 78,861.08

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Solution

The fourth proportional to 328,179.08, 492,268.57 and 78,861.08 is: 118,291.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,179.08 : 492,268.57 = 78,861.08 : x
  2. Step 2: Convert to fraction form
    328,179.08/492,268.57 = 78,861.08/x
  3. Step 3: Cross multiply
    328,179.08x = 492,268.57 × 78,861.08
  4. Step 4: Simplify right side
    328,179.08x = 38,820,831,080.26
  5. Step 5: Solve for x
    x = 38,820,831,080.26/328,179.08
  6. Step 6: Final answer
    x = 118,291.61

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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.