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Finding the Fourth Proportional to 305,940, 422,197.20 and 171,804

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Solution

The fourth proportional to 305,940, 422,197.20 and 171,804 is: 237,089.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,940 : 422,197.20 = 171,804 : x
  2. Step 2: Convert to fraction form
    305,940/422,197.20 = 171,804/x
  3. Step 3: Cross multiply
    305,940x = 422,197.20 × 171,804
  4. Step 4: Simplify right side
    305,940x = 72,535,167,748.80
  5. Step 5: Solve for x
    x = 72,535,167,748.80/305,940
  6. Step 6: Final answer
    x = 237,089.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.