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Finding the Fourth Proportional to 235,003.80, 352,078.02 and 209,809.56

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Solution

The fourth proportional to 235,003.80, 352,078.02 and 209,809.56 is: 314,332.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,003.80 : 352,078.02 = 209,809.56 : x
  2. Step 2: Convert to fraction form
    235,003.80/352,078.02 = 209,809.56/x
  3. Step 3: Cross multiply
    235,003.80x = 352,078.02 × 209,809.56
  4. Step 4: Simplify right side
    235,003.80x = 73,869,334,461.87
  5. Step 5: Solve for x
    x = 73,869,334,461.87/235,003.80
  6. Step 6: Final answer
    x = 314,332.51

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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.