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Finding the Fourth Proportional to 230,395.80, 344,813.40 and 141,705.48

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Solution

The fourth proportional to 230,395.80, 344,813.40 and 141,705.48 is: 212,078.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,395.80 : 344,813.40 = 141,705.48 : x
  2. Step 2: Convert to fraction form
    230,395.80/344,813.40 = 141,705.48/x
  3. Step 3: Cross multiply
    230,395.80x = 344,813.40 × 141,705.48
  4. Step 4: Simplify right side
    230,395.80x = 48,861,948,357.43
  5. Step 5: Solve for x
    x = 48,861,948,357.43/230,395.80
  6. Step 6: Final answer
    x = 212,078.29

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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.