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Finding the Fourth Proportional to 739,728, 1,020,832.02 and 400,203.54

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Solution

The fourth proportional to 739,728, 1,020,832.02 and 400,203.54 is: 552,284.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,728 : 1,020,832.02 = 400,203.54 : x
  2. Step 2: Convert to fraction form
    739,728/1,020,832.02 = 400,203.54/x
  3. Step 3: Cross multiply
    739,728x = 1,020,832.02 × 400,203.54
  4. Step 4: Simplify right side
    739,728x = 408,540,588,149.35
  5. Step 5: Solve for x
    x = 408,540,588,149.35/739,728
  6. Step 6: Final answer
    x = 552,284.88

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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.