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Finding the Fourth Proportional to 305,039.46, 420,979.68 and 169,116.06

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Solution

The fourth proportional to 305,039.46, 420,979.68 and 169,116.06 is: 233,394.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,039.46 : 420,979.68 = 169,116.06 : x
  2. Step 2: Convert to fraction form
    305,039.46/420,979.68 = 169,116.06/x
  3. Step 3: Cross multiply
    305,039.46x = 420,979.68 × 169,116.06
  4. Step 4: Simplify right side
    305,039.46x = 71,194,426,400.33
  5. Step 5: Solve for x
    x = 71,194,426,400.33/305,039.46
  6. Step 6: Final answer
    x = 233,394.15

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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.