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Finding the Fourth Proportional to 509,538.06, 703,171.26 and 280,105

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Solution

The fourth proportional to 509,538.06, 703,171.26 and 280,105 is: 386,549.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,538.06 : 703,171.26 = 280,105 : x
  2. Step 2: Convert to fraction form
    509,538.06/703,171.26 = 280,105/x
  3. Step 3: Cross multiply
    509,538.06x = 703,171.26 × 280,105
  4. Step 4: Simplify right side
    509,538.06x = 196,961,785,782.30
  5. Step 5: Solve for x
    x = 196,961,785,782.30/509,538.06
  6. Step 6: Final answer
    x = 386,549.70

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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.