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Finding the Fourth Proportional to 230,456.40, 345,700.80 and 130,664.40

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Solution

The fourth proportional to 230,456.40, 345,700.80 and 130,664.40 is: 196,005.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,456.40 : 345,700.80 = 130,664.40 : x
  2. Step 2: Convert to fraction form
    230,456.40/345,700.80 = 130,664.40/x
  3. Step 3: Cross multiply
    230,456.40x = 345,700.80 × 130,664.40
  4. Step 4: Simplify right side
    230,456.40x = 45,170,787,611.52
  5. Step 5: Solve for x
    x = 45,170,787,611.52/230,456.40
  6. Step 6: Final answer
    x = 196,005.79

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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.