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Finding the Fourth Proportional to 305,341.63, 421,378.20 and 169,371.16

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Solution

The fourth proportional to 305,341.63, 421,378.20 and 169,371.16 is: 233,735.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,341.63 : 421,378.20 = 169,371.16 : x
  2. Step 2: Convert to fraction form
    305,341.63/421,378.20 = 169,371.16/x
  3. Step 3: Cross multiply
    305,341.63x = 421,378.20 × 169,371.16
  4. Step 4: Simplify right side
    305,341.63x = 71,369,313,479.27
  5. Step 5: Solve for x
    x = 71,369,313,479.27/305,341.63
  6. Step 6: Final answer
    x = 233,735.94

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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.