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Finding the Fourth Proportional to 298,242.39, 411,562.16 and 162,276.87

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Solution

The fourth proportional to 298,242.39, 411,562.16 and 162,276.87 is: 223,935.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,242.39 : 411,562.16 = 162,276.87 : x
  2. Step 2: Convert to fraction form
    298,242.39/411,562.16 = 162,276.87/x
  3. Step 3: Cross multiply
    298,242.39x = 411,562.16 × 162,276.87
  4. Step 4: Simplify right side
    298,242.39x = 66,787,019,135.24
  5. Step 5: Solve for x
    x = 66,787,019,135.24/298,242.39
  6. Step 6: Final answer
    x = 223,935.37

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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.