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Finding the Fourth Proportional to 235,005.80, 352,081.02 and 209,811.56

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Solution

The fourth proportional to 235,005.80, 352,081.02 and 209,811.56 is: 314,335.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,005.80 : 352,081.02 = 209,811.56 : x
  2. Step 2: Convert to fraction form
    235,005.80/352,081.02 = 209,811.56/x
  3. Step 3: Cross multiply
    235,005.80x = 352,081.02 × 209,811.56
  4. Step 4: Simplify right side
    235,005.80x = 73,870,668,052.59
  5. Step 5: Solve for x
    x = 73,870,668,052.59/235,005.80
  6. Step 6: Final answer
    x = 314,335.51

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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.