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Finding the Fourth Proportional to 298,279.20, 411,634.61 and 169,223.12

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Solution

The fourth proportional to 298,279.20, 411,634.61 and 169,223.12 is: 233,533.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,279.20 : 411,634.61 = 169,223.12 : x
  2. Step 2: Convert to fraction form
    298,279.20/411,634.61 = 169,223.12/x
  3. Step 3: Cross multiply
    298,279.20x = 411,634.61 × 169,223.12
  4. Step 4: Simplify right side
    298,279.20x = 69,658,093,004.18
  5. Step 5: Solve for x
    x = 69,658,093,004.18/298,279.20
  6. Step 6: Final answer
    x = 233,533.19

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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.