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Finding the Fourth Proportional to 218,431.16, 327,369.68 and 98,360

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Solution

The fourth proportional to 218,431.16, 327,369.68 and 98,360 is: 147,415.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,431.16 : 327,369.68 = 98,360 : x
  2. Step 2: Convert to fraction form
    218,431.16/327,369.68 = 98,360/x
  3. Step 3: Cross multiply
    218,431.16x = 327,369.68 × 98,360
  4. Step 4: Simplify right side
    218,431.16x = 32,200,081,724.80
  5. Step 5: Solve for x
    x = 32,200,081,724.80/218,431.16
  6. Step 6: Final answer
    x = 147,415.24

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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.