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Finding the Fourth Proportional to 280,403.20, 420,604.80 and 169,811.20

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Solution

The fourth proportional to 280,403.20, 420,604.80 and 169,811.20 is: 254,716.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,403.20 : 420,604.80 = 169,811.20 : x
  2. Step 2: Convert to fraction form
    280,403.20/420,604.80 = 169,811.20/x
  3. Step 3: Cross multiply
    280,403.20x = 420,604.80 × 169,811.20
  4. Step 4: Simplify right side
    280,403.20x = 71,423,405,813.76
  5. Step 5: Solve for x
    x = 71,423,405,813.76/280,403.20
  6. Step 6: Final answer
    x = 254,716.80

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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.