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Finding the Fourth Proportional to 280,358.46, 420,543.62 and 100,455.60

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Solution

The fourth proportional to 280,358.46, 420,543.62 and 100,455.60 is: 150,685.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,358.46 : 420,543.62 = 100,455.60 : x
  2. Step 2: Convert to fraction form
    280,358.46/420,543.62 = 100,455.60/x
  3. Step 3: Cross multiply
    280,358.46x = 420,543.62 × 100,455.60
  4. Step 4: Simplify right side
    280,358.46x = 42,245,961,673.27
  5. Step 5: Solve for x
    x = 42,245,961,673.27/280,358.46
  6. Step 6: Final answer
    x = 150,685.52

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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.