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Finding the Fourth Proportional to 509,543.28, 703,173.42 and 280,104.84

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Solution

The fourth proportional to 509,543.28, 703,173.42 and 280,104.84 is: 386,546.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,543.28 : 703,173.42 = 280,104.84 : x
  2. Step 2: Convert to fraction form
    509,543.28/703,173.42 = 280,104.84/x
  3. Step 3: Cross multiply
    509,543.28x = 703,173.42 × 280,104.84
  4. Step 4: Simplify right side
    509,543.28x = 196,962,278,301.35
  5. Step 5: Solve for x
    x = 196,962,278,301.35/509,543.28
  6. Step 6: Final answer
    x = 386,546.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.