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Finding the Fourth Proportional to 282,636.60, 423,738.90 and 142,495.80

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Solution

The fourth proportional to 282,636.60, 423,738.90 and 142,495.80 is: 213,634.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,636.60 : 423,738.90 = 142,495.80 : x
  2. Step 2: Convert to fraction form
    282,636.60/423,738.90 = 142,495.80/x
  3. Step 3: Cross multiply
    282,636.60x = 423,738.90 × 142,495.80
  4. Step 4: Simplify right side
    282,636.60x = 60,381,013,546.62
  5. Step 5: Solve for x
    x = 60,381,013,546.62/282,636.60
  6. Step 6: Final answer
    x = 213,634.80

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1.5x scale

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.