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Finding the Fourth Proportional to 218,601.60, 327,902.40 and 78,518.40

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Solution

The fourth proportional to 218,601.60, 327,902.40 and 78,518.40 is: 117,777.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,601.60 : 327,902.40 = 78,518.40 : x
  2. Step 2: Convert to fraction form
    218,601.60/327,902.40 = 78,518.40/x
  3. Step 3: Cross multiply
    218,601.60x = 327,902.40 × 78,518.40
  4. Step 4: Simplify right side
    218,601.60x = 25,746,371,804.16
  5. Step 5: Solve for x
    x = 25,746,371,804.16/218,601.60
  6. Step 6: Final answer
    x = 117,777.60

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1.5x scale

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.