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Finding the Fourth Proportional to 509,836.25, 703,559.15 and 280,393.30

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Solution

The fourth proportional to 509,836.25, 703,559.15 and 280,393.30 is: 386,934.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,836.25 : 703,559.15 = 280,393.30 : x
  2. Step 2: Convert to fraction form
    509,836.25/703,559.15 = 280,393.30/x
  3. Step 3: Cross multiply
    509,836.25x = 703,559.15 × 280,393.30
  4. Step 4: Simplify right side
    509,836.25x = 197,273,269,568.04
  5. Step 5: Solve for x
    x = 197,273,269,568.04/509,836.25
  6. Step 6: Final answer
    x = 386,934.57

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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.