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Finding the Fourth Proportional to 305,653.50, 421,802.64 and 171,517.50

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Solution

The fourth proportional to 305,653.50, 421,802.64 and 171,517.50 is: 236,694.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,653.50 : 421,802.64 = 171,517.50 : x
  2. Step 2: Convert to fraction form
    305,653.50/421,802.64 = 171,517.50/x
  3. Step 3: Cross multiply
    305,653.50x = 421,802.64 × 171,517.50
  4. Step 4: Simplify right side
    305,653.50x = 72,346,534,306.20
  5. Step 5: Solve for x
    x = 72,346,534,306.20/305,653.50
  6. Step 6: Final answer
    x = 236,694.60

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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.