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Finding the Fourth Proportional to 352,990.82, 487,198.18 and 209,723.28

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Solution

The fourth proportional to 352,990.82, 487,198.18 and 209,723.28 is: 289,460.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,990.82 : 487,198.18 = 209,723.28 : x
  2. Step 2: Convert to fraction form
    352,990.82/487,198.18 = 209,723.28/x
  3. Step 3: Cross multiply
    352,990.82x = 487,198.18 × 209,723.28
  4. Step 4: Simplify right side
    352,990.82x = 102,176,800,319.63
  5. Step 5: Solve for x
    x = 102,176,800,319.63/352,990.82
  6. Step 6: Final answer
    x = 289,460.22

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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.