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Finding the Fourth Proportional to 276,258.60, 413,999.10 and 204,622.20

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Solution

The fourth proportional to 276,258.60, 413,999.10 and 204,622.20 is: 306,645.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,258.60 : 413,999.10 = 204,622.20 : x
  2. Step 2: Convert to fraction form
    276,258.60/413,999.10 = 204,622.20/x
  3. Step 3: Cross multiply
    276,258.60x = 413,999.10 × 204,622.20
  4. Step 4: Simplify right side
    276,258.60x = 84,713,406,640.02
  5. Step 5: Solve for x
    x = 84,713,406,640.02/276,258.60
  6. Step 6: Final answer
    x = 306,645.32

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1.5x scale

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.