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Finding the Fourth Proportional to 252,071.40, 378,107.10 and 228,743.40

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Solution

The fourth proportional to 252,071.40, 378,107.10 and 228,743.40 is: 343,115.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,071.40 : 378,107.10 = 228,743.40 : x
  2. Step 2: Convert to fraction form
    252,071.40/378,107.10 = 228,743.40/x
  3. Step 3: Cross multiply
    252,071.40x = 378,107.10 × 228,743.40
  4. Step 4: Simplify right side
    252,071.40x = 86,489,503,618.14
  5. Step 5: Solve for x
    x = 86,489,503,618.14/252,071.40
  6. Step 6: Final answer
    x = 343,115.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.