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Finding the Fourth Proportional to 305,341.82, 421,378.47 and 169,371.35

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Solution

The fourth proportional to 305,341.82, 421,378.47 and 169,371.35 is: 233,736.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,341.82 : 421,378.47 = 169,371.35 : x
  2. Step 2: Convert to fraction form
    305,341.82/421,378.47 = 169,371.35/x
  3. Step 3: Cross multiply
    305,341.82x = 421,378.47 × 169,371.35
  4. Step 4: Simplify right side
    305,341.82x = 71,369,438,217.94
  5. Step 5: Solve for x
    x = 71,369,438,217.94/305,341.82
  6. Step 6: Final answer
    x = 233,736.21

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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.