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Finding the Fourth Proportional to 305,147.84, 421,103.25 and 169,178.30

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Solution

The fourth proportional to 305,147.84, 421,103.25 and 169,178.30 is: 233,465.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,147.84 : 421,103.25 = 169,178.30 : x
  2. Step 2: Convert to fraction form
    305,147.84/421,103.25 = 169,178.30/x
  3. Step 3: Cross multiply
    305,147.84x = 421,103.25 × 169,178.30
  4. Step 4: Simplify right side
    305,147.84x = 71,241,529,853.96
  5. Step 5: Solve for x
    x = 71,241,529,853.96/305,147.84
  6. Step 6: Final answer
    x = 233,465.62

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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.