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Finding the Fourth Proportional to 303,382, 418,667.34 and 169,246

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Solution

The fourth proportional to 303,382, 418,667.34 and 169,246 is: 233,559.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,382 : 418,667.34 = 169,246 : x
  2. Step 2: Convert to fraction form
    303,382/418,667.34 = 169,246/x
  3. Step 3: Cross multiply
    303,382x = 418,667.34 × 169,246
  4. Step 4: Simplify right side
    303,382x = 70,857,772,625.64
  5. Step 5: Solve for x
    x = 70,857,772,625.64/303,382
  6. Step 6: Final answer
    x = 233,559.58

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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.