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Finding the Fourth Proportional to 280,597.35, 420,958.22 and 80,902.16

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Solution

The fourth proportional to 280,597.35, 420,958.22 and 80,902.16 is: 121,371.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,597.35 : 420,958.22 = 80,902.16 : x
  2. Step 2: Convert to fraction form
    280,597.35/420,958.22 = 80,902.16/x
  3. Step 3: Cross multiply
    280,597.35x = 420,958.22 × 80,902.16
  4. Step 4: Simplify right side
    280,597.35x = 34,056,429,267.76
  5. Step 5: Solve for x
    x = 34,056,429,267.76/280,597.35
  6. Step 6: Final answer
    x = 121,371.17

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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.