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Finding the Fourth Proportional to 361,427.80, 498,773.32 and 200,285.54

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Solution

The fourth proportional to 361,427.80, 498,773.32 and 200,285.54 is: 276,395.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,427.80 : 498,773.32 = 200,285.54 : x
  2. Step 2: Convert to fraction form
    361,427.80/498,773.32 = 200,285.54/x
  3. Step 3: Cross multiply
    361,427.80x = 498,773.32 × 200,285.54
  4. Step 4: Simplify right side
    361,427.80x = 99,897,085,231.08
  5. Step 5: Solve for x
    x = 99,897,085,231.08/361,427.80
  6. Step 6: Final answer
    x = 276,395.68

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1.5x scale

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.