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Finding the Fourth Proportional to 485,214.49, 727,865.48 and 185,682.97

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Solution

The fourth proportional to 485,214.49, 727,865.48 and 185,682.97 is: 278,541.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,214.49 : 727,865.48 = 185,682.97 : x
  2. Step 2: Convert to fraction form
    485,214.49/727,865.48 = 185,682.97/x
  3. Step 3: Cross multiply
    485,214.49x = 727,865.48 × 185,682.97
  4. Step 4: Simplify right side
    485,214.49x = 135,152,224,086.88
  5. Step 5: Solve for x
    x = 135,152,224,086.88/485,214.49
  6. Step 6: Final answer
    x = 278,541.20

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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.