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Finding the Fourth Proportional to 420,422, 580,194.60 and 229,447.60

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Solution

The fourth proportional to 420,422, 580,194.60 and 229,447.60 is: 316,644.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,422 : 580,194.60 = 229,447.60 : x
  2. Step 2: Convert to fraction form
    420,422/580,194.60 = 229,447.60/x
  3. Step 3: Cross multiply
    420,422x = 580,194.60 × 229,447.60
  4. Step 4: Simplify right side
    420,422x = 133,124,258,502.96
  5. Step 5: Solve for x
    x = 133,124,258,502.96/420,422
  6. Step 6: Final answer
    x = 316,644.37

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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.