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Finding the Fourth Proportional to 339,712.80, 509,439.60 and 102,976.80

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Solution

The fourth proportional to 339,712.80, 509,439.60 and 102,976.80 is: 154,425.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,712.80 : 509,439.60 = 102,976.80 : x
  2. Step 2: Convert to fraction form
    339,712.80/509,439.60 = 102,976.80/x
  3. Step 3: Cross multiply
    339,712.80x = 509,439.60 × 102,976.80
  4. Step 4: Simplify right side
    339,712.80x = 52,460,459,801.28
  5. Step 5: Solve for x
    x = 52,460,459,801.28/339,712.80
  6. Step 6: Final answer
    x = 154,425.91

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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.