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Finding the Fourth Proportional to 290,439.40, 435,659.10 and 190,906.60

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Solution

The fourth proportional to 290,439.40, 435,659.10 and 190,906.60 is: 286,359.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,439.40 : 435,659.10 = 190,906.60 : x
  2. Step 2: Convert to fraction form
    290,439.40/435,659.10 = 190,906.60/x
  3. Step 3: Cross multiply
    290,439.40x = 435,659.10 × 190,906.60
  4. Step 4: Simplify right side
    290,439.40x = 83,170,197,540.06
  5. Step 5: Solve for x
    x = 83,170,197,540.06/290,439.40
  6. Step 6: Final answer
    x = 286,359.90

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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.