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Finding the Fourth Proportional to 217,611.76, 300,227.25 and 142,204.00

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Solution

The fourth proportional to 217,611.76, 300,227.25 and 142,204.00 is: 196,191.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,611.76 : 300,227.25 = 142,204.00 : x
  2. Step 2: Convert to fraction form
    217,611.76/300,227.25 = 142,204.00/x
  3. Step 3: Cross multiply
    217,611.76x = 300,227.25 × 142,204.00
  4. Step 4: Simplify right side
    217,611.76x = 42,693,515,701.02
  5. Step 5: Solve for x
    x = 42,693,515,701.02/217,611.76
  6. Step 6: Final answer
    x = 196,191.21

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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.