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Finding the Fourth Proportional to 471,214.78, 650,227.86 and 280,191.28

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Solution

The fourth proportional to 471,214.78, 650,227.86 and 280,191.28 is: 386,635.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,214.78 : 650,227.86 = 280,191.28 : x
  2. Step 2: Convert to fraction form
    471,214.78/650,227.86 = 280,191.28/x
  3. Step 3: Cross multiply
    471,214.78x = 650,227.86 × 280,191.28
  4. Step 4: Simplify right side
    471,214.78x = 182,188,176,385.06
  5. Step 5: Solve for x
    x = 182,188,176,385.06/471,214.78
  6. Step 6: Final answer
    x = 386,635.11

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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.