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Finding the Fourth Proportional to 305,781.64, 421,964.40 and 169,824.40

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Solution

The fourth proportional to 305,781.64, 421,964.40 and 169,824.40 is: 234,349.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,781.64 : 421,964.40 = 169,824.40 : x
  2. Step 2: Convert to fraction form
    305,781.64/421,964.40 = 169,824.40/x
  3. Step 3: Cross multiply
    305,781.64x = 421,964.40 × 169,824.40
  4. Step 4: Simplify right side
    305,781.64x = 71,659,851,051.36
  5. Step 5: Solve for x
    x = 71,659,851,051.36/305,781.64
  6. Step 6: Final answer
    x = 234,349.75

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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.