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Finding the Fourth Proportional to 280,628.60, 420,942.90 and 83,636.60

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Solution

The fourth proportional to 280,628.60, 420,942.90 and 83,636.60 is: 125,454.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,628.60 : 420,942.90 = 83,636.60 : x
  2. Step 2: Convert to fraction form
    280,628.60/420,942.90 = 83,636.60/x
  3. Step 3: Cross multiply
    280,628.60x = 420,942.90 × 83,636.60
  4. Step 4: Simplify right side
    280,628.60x = 35,206,232,950.14
  5. Step 5: Solve for x
    x = 35,206,232,950.14/280,628.60
  6. Step 6: Final answer
    x = 125,454.90

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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.