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Finding the Fourth Proportional to 298,012.40, 411,254.89 and 162,046.43

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Solution

The fourth proportional to 298,012.40, 411,254.89 and 162,046.43 is: 223,622.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,012.40 : 411,254.89 = 162,046.43 : x
  2. Step 2: Convert to fraction form
    298,012.40/411,254.89 = 162,046.43/x
  3. Step 3: Cross multiply
    298,012.40x = 411,254.89 × 162,046.43
  4. Step 4: Simplify right side
    298,012.40x = 66,642,386,744.54
  5. Step 5: Solve for x
    x = 66,642,386,744.54/298,012.40
  6. Step 6: Final answer
    x = 223,622.87

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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.