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Finding the Fourth Proportional to 509,836.75, 703,559.85 and 280,393.80

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Solution

The fourth proportional to 509,836.75, 703,559.85 and 280,393.80 is: 386,935.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,836.75 : 703,559.85 = 280,393.80 : x
  2. Step 2: Convert to fraction form
    509,836.75/703,559.85 = 280,393.80/x
  3. Step 3: Cross multiply
    509,836.75x = 703,559.85 × 280,393.80
  4. Step 4: Simplify right side
    509,836.75x = 197,273,814,949.16
  5. Step 5: Solve for x
    x = 197,273,814,949.16/509,836.75
  6. Step 6: Final answer
    x = 386,935.26

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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.