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Finding the Fourth Proportional to 304,377, 420,041.70 and 170,241

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Solution

The fourth proportional to 304,377, 420,041.70 and 170,241 is: 234,933.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,377 : 420,041.70 = 170,241 : x
  2. Step 2: Convert to fraction form
    304,377/420,041.70 = 170,241/x
  3. Step 3: Cross multiply
    304,377x = 420,041.70 × 170,241
  4. Step 4: Simplify right side
    304,377x = 71,508,319,049.70
  5. Step 5: Solve for x
    x = 71,508,319,049.70/304,377
  6. Step 6: Final answer
    x = 234,933.39

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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.