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Finding the Fourth Proportional to 280,636.40, 420,954.60 and 242,582.60

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Solution

The fourth proportional to 280,636.40, 420,954.60 and 242,582.60 is: 363,873.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,636.40 : 420,954.60 = 242,582.60 : x
  2. Step 2: Convert to fraction form
    280,636.40/420,954.60 = 242,582.60/x
  3. Step 3: Cross multiply
    280,636.40x = 420,954.60 × 242,582.60
  4. Step 4: Simplify right side
    280,636.40x = 102,116,261,349.96
  5. Step 5: Solve for x
    x = 102,116,261,349.96/280,636.40
  6. Step 6: Final answer
    x = 363,873.90

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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.