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Finding the Fourth Proportional to 305,754.84, 421,927.56 and 169,797.42

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Solution

The fourth proportional to 305,754.84, 421,927.56 and 169,797.42 is: 234,312.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,754.84 : 421,927.56 = 169,797.42 : x
  2. Step 2: Convert to fraction form
    305,754.84/421,927.56 = 169,797.42/x
  3. Step 3: Cross multiply
    305,754.84x = 421,927.56 × 169,797.42
  4. Step 4: Simplify right side
    305,754.84x = 71,642,211,114.90
  5. Step 5: Solve for x
    x = 71,642,211,114.90/305,754.84
  6. Step 6: Final answer
    x = 234,312.60

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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.