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Finding the Fourth Proportional to 361,490.33, 498,856.70 and 200,355.78

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Solution

The fourth proportional to 361,490.33, 498,856.70 and 200,355.78 is: 276,491.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,490.33 : 498,856.70 = 200,355.78 : x
  2. Step 2: Convert to fraction form
    361,490.33/498,856.70 = 200,355.78/x
  3. Step 3: Cross multiply
    361,490.33x = 498,856.70 × 200,355.78
  4. Step 4: Simplify right side
    361,490.33x = 99,948,823,236.73
  5. Step 5: Solve for x
    x = 99,948,823,236.73/361,490.33
  6. Step 6: Final answer
    x = 276,491.00

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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.