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Finding the Fourth Proportional to 228,717.62, 343,109.64 and 70,958.78

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Solution

The fourth proportional to 228,717.62, 343,109.64 and 70,958.78 is: 106,448.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,717.62 : 343,109.64 = 70,958.78 : x
  2. Step 2: Convert to fraction form
    228,717.62/343,109.64 = 70,958.78/x
  3. Step 3: Cross multiply
    228,717.62x = 343,109.64 × 70,958.78
  4. Step 4: Simplify right side
    228,717.62x = 24,346,641,460.64
  5. Step 5: Solve for x
    x = 24,346,641,460.64/228,717.62
  6. Step 6: Final answer
    x = 106,448.47

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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.