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Finding the Fourth Proportional to 306,845.60, 459,678.72 and 188,170.88

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Solution

The fourth proportional to 306,845.60, 459,678.72 and 188,170.88 is: 281,894.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,845.60 : 459,678.72 = 188,170.88 : x
  2. Step 2: Convert to fraction form
    306,845.60/459,678.72 = 188,170.88/x
  3. Step 3: Cross multiply
    306,845.60x = 459,678.72 × 188,170.88
  4. Step 4: Simplify right side
    306,845.60x = 86,498,149,259.67
  5. Step 5: Solve for x
    x = 86,498,149,259.67/306,845.60
  6. Step 6: Final answer
    x = 281,894.70

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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.