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Finding the Fourth Proportional to 216,389.60, 324,584.40 and 123,077.60

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Solution

The fourth proportional to 216,389.60, 324,584.40 and 123,077.60 is: 184,616.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,389.60 : 324,584.40 = 123,077.60 : x
  2. Step 2: Convert to fraction form
    216,389.60/324,584.40 = 123,077.60/x
  3. Step 3: Cross multiply
    216,389.60x = 324,584.40 × 123,077.60
  4. Step 4: Simplify right side
    216,389.60x = 39,949,068,949.44
  5. Step 5: Solve for x
    x = 39,949,068,949.44/216,389.60
  6. Step 6: Final answer
    x = 184,616.40

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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.