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Finding the Fourth Proportional to 282,186.60, 422,819.10 and 242,557.80

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Solution

The fourth proportional to 282,186.60, 422,819.10 and 242,557.80 is: 363,440.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,186.60 : 422,819.10 = 242,557.80 : x
  2. Step 2: Convert to fraction form
    282,186.60/422,819.10 = 242,557.80/x
  3. Step 3: Cross multiply
    282,186.60x = 422,819.10 × 242,557.80
  4. Step 4: Simplify right side
    282,186.60x = 102,558,070,693.98
  5. Step 5: Solve for x
    x = 102,558,070,693.98/282,186.60
  6. Step 6: Final answer
    x = 363,440.61

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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.