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Finding the Fourth Proportional to 298,345.70, 411,720.44 and 162,380.52

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Solution

The fourth proportional to 298,345.70, 411,720.44 and 162,380.52 is: 224,086.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,345.70 : 411,720.44 = 162,380.52 : x
  2. Step 2: Convert to fraction form
    298,345.70/411,720.44 = 162,380.52/x
  3. Step 3: Cross multiply
    298,345.70x = 411,720.44 × 162,380.52
  4. Step 4: Simplify right side
    298,345.70x = 66,855,378,329.93
  5. Step 5: Solve for x
    x = 66,855,378,329.93/298,345.70
  6. Step 6: Final answer
    x = 224,086.95

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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.