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Finding the Fourth Proportional to 254,531.60, 381,019.80 and 198,544.40

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Solution

The fourth proportional to 254,531.60, 381,019.80 and 198,544.40 is: 297,210.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,531.60 : 381,019.80 = 198,544.40 : x
  2. Step 2: Convert to fraction form
    254,531.60/381,019.80 = 198,544.40/x
  3. Step 3: Cross multiply
    254,531.60x = 381,019.80 × 198,544.40
  4. Step 4: Simplify right side
    254,531.60x = 75,649,347,579.12
  5. Step 5: Solve for x
    x = 75,649,347,579.12/254,531.60
  6. Step 6: Final answer
    x = 297,210.04

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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.