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Finding the Fourth Proportional to 305,894.80, 422,140.56 and 169,941.52

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Solution

The fourth proportional to 305,894.80, 422,140.56 and 169,941.52 is: 234,522.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,894.80 : 422,140.56 = 169,941.52 : x
  2. Step 2: Convert to fraction form
    305,894.80/422,140.56 = 169,941.52/x
  3. Step 3: Cross multiply
    305,894.80x = 422,140.56 × 169,941.52
  4. Step 4: Simplify right side
    305,894.80x = 71,739,208,420.05
  5. Step 5: Solve for x
    x = 71,739,208,420.05/305,894.80
  6. Step 6: Final answer
    x = 234,522.48

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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.