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Finding the Fourth Proportional to 298,286.53, 411,634.67 and 162,320.45

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Solution

The fourth proportional to 298,286.53, 411,634.67 and 162,320.45 is: 224,001.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,286.53 : 411,634.67 = 162,320.45 : x
  2. Step 2: Convert to fraction form
    298,286.53/411,634.67 = 162,320.45/x
  3. Step 3: Cross multiply
    298,286.53x = 411,634.67 × 162,320.45
  4. Step 4: Simplify right side
    298,286.53x = 66,816,722,000.23
  5. Step 5: Solve for x
    x = 66,816,722,000.23/298,286.53
  6. Step 6: Final answer
    x = 224,001.81

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1.5x scale

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.