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Finding the Fourth Proportional to 485,235.36, 727,853.04 and 189,540

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Solution

The fourth proportional to 485,235.36, 727,853.04 and 189,540 is: 284,310

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,235.36 : 727,853.04 = 189,540 : x
  2. Step 2: Convert to fraction form
    485,235.36/727,853.04 = 189,540/x
  3. Step 3: Cross multiply
    485,235.36x = 727,853.04 × 189,540
  4. Step 4: Simplify right side
    485,235.36x = 137,957,265,201.60
  5. Step 5: Solve for x
    x = 137,957,265,201.60/485,235.36
  6. Step 6: Final answer
    x = 284,310

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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.