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Finding the Fourth Proportional to 280,321.04, 420,241.40 and 122,433.68

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Solution

The fourth proportional to 280,321.04, 420,241.40 and 122,433.68 is: 183,545.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,321.04 : 420,241.40 = 122,433.68 : x
  2. Step 2: Convert to fraction form
    280,321.04/420,241.40 = 122,433.68/x
  3. Step 3: Cross multiply
    280,321.04x = 420,241.40 × 122,433.68
  4. Step 4: Simplify right side
    280,321.04x = 51,451,701,090.35
  5. Step 5: Solve for x
    x = 51,451,701,090.35/280,321.04
  6. Step 6: Final answer
    x = 183,545.63

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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.