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Finding the Fourth Proportional to 475,137.28, 712,580.37 and 205,359.49

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Solution

The fourth proportional to 475,137.28, 712,580.37 and 205,359.49 is: 307,984.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,137.28 : 712,580.37 = 205,359.49 : x
  2. Step 2: Convert to fraction form
    475,137.28/712,580.37 = 205,359.49/x
  3. Step 3: Cross multiply
    475,137.28x = 712,580.37 × 205,359.49
  4. Step 4: Simplify right side
    475,137.28x = 146,335,141,367.21
  5. Step 5: Solve for x
    x = 146,335,141,367.21/475,137.28
  6. Step 6: Final answer
    x = 307,984.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.