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Finding the Fourth Proportional to 298,279.88, 411,626.30 and 164,143.88

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Solution

The fourth proportional to 298,279.88, 411,626.30 and 164,143.88 is: 226,518.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,279.88 : 411,626.30 = 164,143.88 : x
  2. Step 2: Convert to fraction form
    298,279.88/411,626.30 = 164,143.88/x
  3. Step 3: Cross multiply
    298,279.88x = 411,626.30 × 164,143.88
  4. Step 4: Simplify right side
    298,279.88x = 67,565,935,113.19
  5. Step 5: Solve for x
    x = 67,565,935,113.19/298,279.88
  6. Step 6: Final answer
    x = 226,518.58

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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.