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Finding the Fourth Proportional to 218,878.48, 328,376.22 and 78,638.32

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Solution

The fourth proportional to 218,878.48, 328,376.22 and 78,638.32 is: 117,978.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,878.48 : 328,376.22 = 78,638.32 : x
  2. Step 2: Convert to fraction form
    218,878.48/328,376.22 = 78,638.32/x
  3. Step 3: Cross multiply
    218,878.48x = 328,376.22 × 78,638.32
  4. Step 4: Simplify right side
    218,878.48x = 25,822,954,268.75
  5. Step 5: Solve for x
    x = 25,822,954,268.75/218,878.48
  6. Step 6: Final answer
    x = 117,978.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.