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Finding the Fourth Proportional to 280,130.90, 420,138.70 and 80,406.77

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Solution

The fourth proportional to 280,130.90, 420,138.70 and 80,406.77 is: 120,593.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,130.90 : 420,138.70 = 80,406.77 : x
  2. Step 2: Convert to fraction form
    280,130.90/420,138.70 = 80,406.77/x
  3. Step 3: Cross multiply
    280,130.90x = 420,138.70 × 80,406.77
  4. Step 4: Simplify right side
    280,130.90x = 33,781,993,517.29
  5. Step 5: Solve for x
    x = 33,781,993,517.29/280,130.90
  6. Step 6: Final answer
    x = 120,593.60

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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.