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Finding the Fourth Proportional to 485,262.64, 727,885.32 and 204,782.32

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Solution

The fourth proportional to 485,262.64, 727,885.32 and 204,782.32 is: 307,169.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,262.64 : 727,885.32 = 204,782.32 : x
  2. Step 2: Convert to fraction form
    485,262.64/727,885.32 = 204,782.32/x
  3. Step 3: Cross multiply
    485,262.64x = 727,885.32 × 204,782.32
  4. Step 4: Simplify right side
    485,262.64x = 149,058,044,523.54
  5. Step 5: Solve for x
    x = 149,058,044,523.54/485,262.64
  6. Step 6: Final answer
    x = 307,169.83

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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.