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Finding the Fourth Proportional to 228,677.62, 343,049.64 and 70,918.78

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Solution

The fourth proportional to 228,677.62, 343,049.64 and 70,918.78 is: 106,388.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,677.62 : 343,049.64 = 70,918.78 : x
  2. Step 2: Convert to fraction form
    228,677.62/343,049.64 = 70,918.78/x
  3. Step 3: Cross multiply
    228,677.62x = 343,049.64 × 70,918.78
  4. Step 4: Simplify right side
    228,677.62x = 24,328,661,948.24
  5. Step 5: Solve for x
    x = 24,328,661,948.24/228,677.62
  6. Step 6: Final answer
    x = 106,388.47

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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.