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Finding the Fourth Proportional to 305,418.63, 421,463.43 and 169,451.13

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Solution

The fourth proportional to 305,418.63, 421,463.43 and 169,451.13 is: 233,834.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,418.63 : 421,463.43 = 169,451.13 : x
  2. Step 2: Convert to fraction form
    305,418.63/421,463.43 = 169,451.13/x
  3. Step 3: Cross multiply
    305,418.63x = 421,463.43 × 169,451.13
  4. Step 4: Simplify right side
    305,418.63x = 71,417,454,467.18
  5. Step 5: Solve for x
    x = 71,417,454,467.18/305,418.63
  6. Step 6: Final answer
    x = 233,834.64

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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.