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Finding the Fourth Proportional to 234,011.60, 349,993.40 and 209,230.80

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Solution

The fourth proportional to 234,011.60, 349,993.40 and 209,230.80 is: 312,930.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,011.60 : 349,993.40 = 209,230.80 : x
  2. Step 2: Convert to fraction form
    234,011.60/349,993.40 = 209,230.80/x
  3. Step 3: Cross multiply
    234,011.60x = 349,993.40 × 209,230.80
  4. Step 4: Simplify right side
    234,011.60x = 73,229,399,076.72
  5. Step 5: Solve for x
    x = 73,229,399,076.72/234,011.60
  6. Step 6: Final answer
    x = 312,930.64

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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.