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Finding the Fourth Proportional to 305,821.82, 422,019.50 and 169,864.40

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Solution

The fourth proportional to 305,821.82, 422,019.50 and 169,864.40 is: 234,404.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,821.82 : 422,019.50 = 169,864.40 : x
  2. Step 2: Convert to fraction form
    305,821.82/422,019.50 = 169,864.40/x
  3. Step 3: Cross multiply
    305,821.82x = 422,019.50 × 169,864.40
  4. Step 4: Simplify right side
    305,821.82x = 71,686,089,155.80
  5. Step 5: Solve for x
    x = 71,686,089,155.80/305,821.82
  6. Step 6: Final answer
    x = 234,404.76

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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.