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Finding the Fourth Proportional to 298,203.48, 411,530.22 and 170,919

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Solution

The fourth proportional to 298,203.48, 411,530.22 and 170,919 is: 235,873.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,203.48 : 411,530.22 = 170,919 : x
  2. Step 2: Convert to fraction form
    298,203.48/411,530.22 = 170,919/x
  3. Step 3: Cross multiply
    298,203.48x = 411,530.22 × 170,919
  4. Step 4: Simplify right side
    298,203.48x = 70,338,333,672.18
  5. Step 5: Solve for x
    x = 70,338,333,672.18/298,203.48
  6. Step 6: Final answer
    x = 235,873.62

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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.