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Finding the Fourth Proportional to 288,999.64, 398,792.46 and 180,093.88

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Solution

The fourth proportional to 288,999.64, 398,792.46 and 180,093.88 is: 248,512.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,999.64 : 398,792.46 = 180,093.88 : x
  2. Step 2: Convert to fraction form
    288,999.64/398,792.46 = 180,093.88/x
  3. Step 3: Cross multiply
    288,999.64x = 398,792.46 × 180,093.88
  4. Step 4: Simplify right side
    288,999.64x = 71,820,081,436.14
  5. Step 5: Solve for x
    x = 71,820,081,436.14/288,999.64
  6. Step 6: Final answer
    x = 248,512.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.