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Finding the Fourth Proportional to 361,427.73, 498,773.21 and 200,285.47

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Solution

The fourth proportional to 361,427.73, 498,773.21 and 200,285.47 is: 276,395.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,427.73 : 498,773.21 = 200,285.47 : x
  2. Step 2: Convert to fraction form
    361,427.73/498,773.21 = 200,285.47/x
  3. Step 3: Cross multiply
    361,427.73x = 498,773.21 × 200,285.47
  4. Step 4: Simplify right side
    361,427.73x = 99,897,025,294.61
  5. Step 5: Solve for x
    x = 99,897,025,294.61/361,427.73
  6. Step 6: Final answer
    x = 276,395.58

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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.