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Finding the Fourth Proportional to 305,217.68, 421,221.96 and 169,264.64

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Solution

The fourth proportional to 305,217.68, 421,221.96 and 169,264.64 is: 233,597.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,217.68 : 421,221.96 = 169,264.64 : x
  2. Step 2: Convert to fraction form
    305,217.68/421,221.96 = 169,264.64/x
  3. Step 3: Cross multiply
    305,217.68x = 421,221.96 × 169,264.64
  4. Step 4: Simplify right side
    305,217.68x = 71,297,984,472.55
  5. Step 5: Solve for x
    x = 71,297,984,472.55/305,217.68
  6. Step 6: Final answer
    x = 233,597.17

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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.